Index

A | B | C | D | E | F | G | H | I | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y

A

AbelianGroup (class in sage.groups.group)
AbelianGroup() (in module sage.groups.abelian_gps.abelian_group)
AbelianGroup_class (class in sage.groups.abelian_gps.abelian_group)
AbelianGroup_subgroup (class in sage.groups.abelian_gps.abelian_group)
AbelianGroupElement (class in sage.groups.abelian_gps.abelian_group_element)
AbelianGroupElementBase (class in sage.groups.abelian_gps.element_base)
AbelianGroupMap (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupMorphism (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupMorphism_id (class in sage.groups.abelian_gps.abelian_group_morphism)
AbelianGroupWithValues() (in module sage.groups.abelian_gps.values)
AbelianGroupWithValues_class (class in sage.groups.abelian_gps.values)
AbelianGroupWithValuesElement (class in sage.groups.abelian_gps.values)
AbelianGroupWithValuesEmbedding (class in sage.groups.abelian_gps.values)
add_strings() (in module sage.groups.abelian_gps.dual_abelian_group_element)
AdditiveAbelianGroup() (in module sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroup_class (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroup_fixed_gens (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroupElement (class in sage.groups.additive_abelian.additive_abelian_group)
AdditiveAbelianGroupWrapper (class in sage.groups.additive_abelian.additive_abelian_wrapper)
AdditiveAbelianGroupWrapperElement (class in sage.groups.additive_abelian.additive_abelian_wrapper)
AlgebraicGroup (class in sage.groups.group)
AlternatingGroup (class in sage.groups.perm_gps.permgroup_named)
ambient_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_subgroup method)
as_AbelianGroup() (sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
as_matrix_group() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
as_permutation() (sage.groups.abelian_gps.abelian_group_element.AbelianGroupElement method)
as_permutation_group() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gens method)

B

B() (sage.groups.perm_gps.cubegroup.CubeGroup method)
base() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
base_field() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
base_ring() (sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup_named.PermutationGroup_plg method)
(sage.groups.perm_gps.permgroup_named.SuzukiGroup method)
blocks_all() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
bsgs() (in module sage.groups.generic)

C

cardinality() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.PrimitiveGroupsOfDegree method)
(sage.groups.perm_gps.permgroup_named.TransitiveGroupsOfDegree method)
cayley_graph() (sage.groups.group.FiniteGroup method)
center() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
centralizer() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
character() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
character_table() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cohomology() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cohomology_part() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
color_of_square() (in module sage.groups.perm_gps.cubegroup)
commutator() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
composition_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
conjugacy_class() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
(sage.groups.matrix_gps.matrix_group_element.MatrixGroupElement method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
conjugacy_class_representatives() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
conjugacy_classes() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
conjugacy_classes_representatives() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
conjugacy_classes_subgroups() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
ConjugacyClass (class in sage.groups.conjugacy_classes)
ConjugacyClassGAP (class in sage.groups.conjugacy_classes)
conjugate() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
construction() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cosets() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
cover_and_relations_from_invariants() (in module sage.groups.additive_abelian.additive_abelian_group)
create_poly() (in module sage.groups.perm_gps.cubegroup)
CubeGroup (class in sage.groups.perm_gps.cubegroup)
cubie() (sage.groups.perm_gps.cubegroup.RubiksCube method)
cubie_centers() (in module sage.groups.perm_gps.cubegroup)
cubie_colors() (in module sage.groups.perm_gps.cubegroup)
cubie_faces() (in module sage.groups.perm_gps.cubegroup)
cycle_string() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
cycle_tuples() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
cycles() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
CyclicPermutationGroup (class in sage.groups.perm_gps.permgroup_named)

D

D() (sage.groups.perm_gps.cubegroup.CubeGroup method)
degree() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
derived_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
dict() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
DiCyclicGroup (class in sage.groups.perm_gps.permgroup_named)
DihedralGroup (class in sage.groups.perm_gps.permgroup_named)
direct_product() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
direct_product_permgroups() (in module sage.groups.perm_gps.permgroup)
discrete_log() (in module sage.groups.generic)
discrete_log_generic() (in module sage.groups.generic)
discrete_log_lambda() (in module sage.groups.generic)
discrete_log_rho() (in module sage.groups.generic)
display2d() (sage.groups.perm_gps.cubegroup.CubeGroup method)
domain() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
dual_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
DualAbelianGroup_class (class in sage.groups.abelian_gps.dual_abelian_group)
DualAbelianGroupElement (class in sage.groups.abelian_gps.dual_abelian_group_element)

E

Element (sage.groups.abelian_gps.abelian_group.AbelianGroup_class attribute)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class attribute)
(sage.groups.abelian_gps.values.AbelianGroupWithValues_class attribute)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class attribute)
(sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper attribute)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap attribute)
element() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapperElement method)
elementary_divisors() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
equals() (sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
exponent() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
exponents() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)

F

F() (sage.groups.perm_gps.cubegroup.CubeGroup method)
faces() (sage.groups.perm_gps.cubegroup.CubeGroup method)
facets() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
field_of_definition() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.matrix_gps.unitary.UnitaryGroup_finite_field method)
(sage.groups.perm_gps.permgroup_named.PermutationGroup_pug method)
FiniteGroup (class in sage.groups.group)
fitting_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
fixed_points() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
frattini_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
from_gap_list() (in module sage.groups.perm_gps.permgroup)

G

gen() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
gen_names() (sage.groups.perm_gps.cubegroup.CubeGroup method)
GeneralDihedralGroup (class in sage.groups.perm_gps.permgroup_named)
GeneralLinearGroup_finite_field (class in sage.groups.matrix_gps.general_linear)
GeneralLinearGroup_generic (class in sage.groups.matrix_gps.general_linear)
GeneralOrthogonalGroup_finite_field (class in sage.groups.matrix_gps.orthogonal)
GeneralOrthogonalGroup_generic (class in sage.groups.matrix_gps.orthogonal)
GeneralUnitaryGroup_finite_field (class in sage.groups.matrix_gps.unitary)
generator_orders() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method)
gens() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.abelian_group.AbelianGroup_subgroup method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gens method)
(sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
gens_orders() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
gens_small() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
gens_values() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
GL() (in module sage.groups.matrix_gps.general_linear)
GO() (in module sage.groups.matrix_gps.orthogonal)
Group (class in sage.groups.group)
group() (sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.perm_gps.cubegroup.CubeGroup method)
group_id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
group_primitive_id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.PrimitiveGroup method)
GU() (in module sage.groups.matrix_gps.unitary)

H

hap_decorator() (in module sage.groups.perm_gps.permgroup)
has_descent() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
has_element() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
holomorph() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
hom() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
homology() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
homology_part() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

I

id() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
identity() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
image() (sage.groups.abelian_gps.abelian_group_morphism.AbelianGroupMorphism method)
(sage.groups.matrix_gps.matrix_group_morphism.MatrixGroupMorphism_im_gens method)
(sage.groups.perm_gps.permgroup_morphism.PermutationGroupMorphism method)
index2singmaster() (in module sage.groups.perm_gps.cubegroup)
index_set() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
intersection() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
inv_list() (in module sage.groups.perm_gps.cubegroup)
invariant_form() (sage.groups.matrix_gps.orthogonal.OrthogonalGroup method)
invariant_generators() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gens method)
invariant_quadratic_form() (sage.groups.matrix_gps.orthogonal.GeneralOrthogonalGroup_generic method)
(sage.groups.matrix_gps.orthogonal.SpecialOrthogonalGroup_generic method)
invariants() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
inverse() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.abelian_gps.values.AbelianGroupWithValuesElement method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
irreducible_characters() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_abelian() (sage.groups.group.AbelianGroup method)
(sage.groups.group.Group method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
(sage.groups.perm_gps.permgroup_named.DiCyclicGroup method)
is_AbelianGroup() (in module sage.groups.abelian_gps.abelian_group)
is_AbelianGroupElement() (in module sage.groups.abelian_gps.abelian_group_element)
is_AbelianGroupMorphism() (in module sage.groups.abelian_gps.abelian_group_morphism)
is_commutative() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.group.Group method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_named.CyclicPermutationGroup method)
(sage.groups.perm_gps.permgroup_named.DiCyclicGroup method)
is_cyclic() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_DualAbelianGroup() (in module sage.groups.abelian_gps.dual_abelian_group)
is_DualAbelianGroupElement() (in module sage.groups.abelian_gps.dual_abelian_group_element)
is_elementary_abelian() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_finite() (sage.groups.group.FiniteGroup method)
(sage.groups.group.Group method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
is_isomorphic() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_MatrixGroup() (in module sage.groups.matrix_gps.matrix_group)
is_MatrixGroupElement() (in module sage.groups.matrix_gps.matrix_group_element)
is_MatrixGroupHomset() (in module sage.groups.matrix_gps.homset)
is_monomial() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_multiplicative() (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.group.Group method)
is_nilpotent() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_normal() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup.PermutationGroup_subgroup method)
is_perfect() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_PermutationGroupElement() (in module sage.groups.perm_gps.permgroup_element)
is_PermutationGroupMorphism() (in module sage.groups.perm_gps.permgroup_morphism)
is_pgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_polycyclic() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_primitive() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_rational() (sage.groups.conjugacy_classes.ConjugacyClass method)
is_real() (sage.groups.conjugacy_classes.ConjugacyClass method)
is_regular() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_semi_regular() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_simple() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_solvable() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_subgroup() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_supersolvable() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_transitive() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
is_trivial() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
isomorphism_to() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
isomorphism_type_info_simple_group() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

K

kernel() (sage.groups.abelian_gps.abelian_group_morphism.AbelianGroupMorphism method)
(sage.groups.matrix_gps.matrix_group_morphism.MatrixGroupMorphism_im_gens method)
(sage.groups.perm_gps.permgroup_morphism.PermutationGroupMorphism method)
KleinFourGroup (class in sage.groups.perm_gps.permgroup_named)

L

L() (sage.groups.perm_gps.cubegroup.CubeGroup method)
largest_moved_point() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
legal() (sage.groups.perm_gps.cubegroup.CubeGroup method)
linear_relation() (in module sage.groups.generic)
list() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.conjugacy_classes.ConjugacyClass method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.matrix_gps.matrix_group_element.MatrixGroupElement method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
load_hap() (in module sage.groups.perm_gps.permgroup)
lower_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

M

major_index() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
make_permgroup_element() (in module sage.groups.perm_gps.permgroup_element)
make_permgroup_element_v2() (in module sage.groups.perm_gps.permgroup_element)
MathieuGroup (class in sage.groups.perm_gps.permgroup_named)
matrix() (sage.groups.matrix_gps.matrix_group_element.MatrixGroupElement method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
matrix_degree() (sage.groups.perm_gps.permgroup_named.PermutationGroup_plg method)
matrix_space() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
MatrixGroup() (in module sage.groups.matrix_gps.matrix_group)
MatrixGroup_gap (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_gap_finite_field (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_generic (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_gens (class in sage.groups.matrix_gps.matrix_group)
MatrixGroup_gens_finite_field (class in sage.groups.matrix_gps.matrix_group)
MatrixGroupElement (class in sage.groups.matrix_gps.matrix_group_element)
MatrixGroupHomset (class in sage.groups.matrix_gps.homset)
MatrixGroupMap (class in sage.groups.matrix_gps.matrix_group_morphism)
MatrixGroupMorphism (class in sage.groups.matrix_gps.matrix_group_morphism)
MatrixGroupMorphism_im_gens (class in sage.groups.matrix_gps.matrix_group_morphism)
merge_points() (in module sage.groups.generic)
module_composition_factors() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gens method)
molien_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
move() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
multiple() (in module sage.groups.generic)
multiples (class in sage.groups.generic)
multiplicative_order() (sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)

N

next() (sage.groups.generic.multiples method)
ngens() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
non_fixed_points() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
normal_subgroups() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
normalizer() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
normalizes() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

O

orbit() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
orbits() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
order() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.abelian_gps.element_base.AbelianGroupElementBase method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
(sage.groups.group.Group method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap method)
(sage.groups.matrix_gps.matrix_group_element.MatrixGroupElement method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
order_from_bounds() (in module sage.groups.generic)
order_from_multiple() (in module sage.groups.generic)
OrthogonalGroup (class in sage.groups.matrix_gps.orthogonal)

P

parse() (sage.groups.perm_gps.cubegroup.CubeGroup method)
permutation_group() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_fixed_gens method)
PermutationGroup() (in module sage.groups.perm_gps.permgroup)
PermutationGroup_generic (class in sage.groups.perm_gps.permgroup)
PermutationGroup_plg (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_pug (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_subgroup (class in sage.groups.perm_gps.permgroup)
PermutationGroup_symalt (class in sage.groups.perm_gps.permgroup_named)
PermutationGroup_unique (class in sage.groups.perm_gps.permgroup_named)
PermutationGroupElement (class in sage.groups.perm_gps.permgroup_element)
PermutationGroupMorphism (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_from_gap (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_id (class in sage.groups.perm_gps.permgroup_morphism)
PermutationGroupMorphism_im_gens (class in sage.groups.perm_gps.permgroup_morphism)
PGL (class in sage.groups.perm_gps.permgroup_named)
PGU (class in sage.groups.perm_gps.permgroup_named)
plot() (sage.groups.perm_gps.cubegroup.RubiksCube method)
plot3d() (sage.groups.perm_gps.cubegroup.RubiksCube method)
plot3d_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method)
plot3d_cubie() (in module sage.groups.perm_gps.cubegroup)
plot_cube() (sage.groups.perm_gps.cubegroup.CubeGroup method)
poincare_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
polygon_plot3d() (in module sage.groups.perm_gps.cubegroup)
PrimitiveGroup (class in sage.groups.perm_gps.permgroup_named)
PrimitiveGroups() (in module sage.groups.perm_gps.permgroup_named)
PrimitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named)
PrimitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named)
PSL (class in sage.groups.perm_gps.permgroup_named)
PSp (class in sage.groups.perm_gps.permgroup_named)
PSP (in module sage.groups.perm_gps.permgroup_named)
PSU (class in sage.groups.perm_gps.permgroup_named)
pushforward() (sage.groups.matrix_gps.matrix_group_morphism.MatrixGroupMorphism_im_gens method)

Q

QuaternionGroup (class in sage.groups.perm_gps.permgroup_named)
QuaternionMatrixGroupGF3() (in module sage.groups.misc_gps.misc_groups)
quotient() (sage.groups.group.Group method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
quotient_group() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

R

R() (sage.groups.perm_gps.cubegroup.CubeGroup method)
ramification_module_decomposition_hurwitz_curve() (sage.groups.perm_gps.permgroup_named.PSL method)
ramification_module_decomposition_modular_curve() (sage.groups.perm_gps.permgroup_named.PSL method)
random() (sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
random_element() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.abelian_gps.dual_abelian_group.DualAbelianGroup_class method)
(sage.groups.group.Group method)
(sage.groups.matrix_gps.general_linear.GeneralLinearGroup_finite_field method)
(sage.groups.matrix_gps.matrix_group.MatrixGroup_gap_finite_field method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
range() (sage.groups.perm_gps.permgroup_morphism.PermutationGroupMorphism method)
repr2d() (sage.groups.perm_gps.cubegroup.CubeGroup method)
representative() (sage.groups.conjugacy_classes.ConjugacyClass method)
rotation_list() (in module sage.groups.perm_gps.cubegroup)
RubiksCube (class in sage.groups.perm_gps.cubegroup)

S

sage.groups.abelian_gps.abelian_group (module)
sage.groups.abelian_gps.abelian_group_element (module)
sage.groups.abelian_gps.abelian_group_morphism (module)
sage.groups.abelian_gps.dual_abelian_group (module)
sage.groups.abelian_gps.dual_abelian_group_element (module)
sage.groups.abelian_gps.element_base (module)
sage.groups.abelian_gps.values (module)
sage.groups.additive_abelian.additive_abelian_group (module)
sage.groups.additive_abelian.additive_abelian_wrapper (module)
sage.groups.conjugacy_classes (module)
sage.groups.generic (module)
sage.groups.group (module)
sage.groups.groups_catalog (module)
sage.groups.matrix_gps.general_linear (module)
sage.groups.matrix_gps.homset (module)
sage.groups.matrix_gps.linear (module)
sage.groups.matrix_gps.matrix_group (module)
sage.groups.matrix_gps.matrix_group_element (module)
sage.groups.matrix_gps.matrix_group_morphism (module)
sage.groups.matrix_gps.orthogonal (module)
sage.groups.matrix_gps.special_linear (module)
sage.groups.matrix_gps.symplectic (module)
sage.groups.matrix_gps.unitary (module)
sage.groups.misc_gps.misc_groups (module)
sage.groups.perm_gps.cubegroup (module)
sage.groups.perm_gps.permgroup (module)
sage.groups.perm_gps.permgroup_element (module)
sage.groups.perm_gps.permgroup_morphism (module)
sage.groups.perm_gps.permgroup_named (module)
scramble() (sage.groups.perm_gps.cubegroup.RubiksCube method)
SemidihedralGroup (class in sage.groups.perm_gps.permgroup_named)
semidirect_product() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
set() (sage.groups.conjugacy_classes.ConjugacyClass method)
(sage.groups.conjugacy_classes.ConjugacyClassGAP method)
(sage.groups.perm_gps.permgroup_named.PermutationGroup_symalt method)
short_name() (sage.groups.additive_abelian.additive_abelian_group.AdditiveAbelianGroup_class method)
show() (sage.groups.perm_gps.cubegroup.RubiksCube method)
show3d() (sage.groups.perm_gps.cubegroup.RubiksCube method)
sign() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)
simple_reflection() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
SL() (in module sage.groups.matrix_gps.special_linear)
smallest_moved_point() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SO() (in module sage.groups.matrix_gps.orthogonal)
socle() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
solvable_radical() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
solve() (sage.groups.perm_gps.cubegroup.CubeGroup method)
(sage.groups.perm_gps.cubegroup.RubiksCube method)
Sp() (in module sage.groups.matrix_gps.symplectic)
SpecialLinearGroup_finite_field (class in sage.groups.matrix_gps.special_linear)
SpecialLinearGroup_generic (class in sage.groups.matrix_gps.special_linear)
SpecialOrthogonalGroup_finite_field (class in sage.groups.matrix_gps.orthogonal)
SpecialOrthogonalGroup_generic (class in sage.groups.matrix_gps.orthogonal)
SpecialUnitaryGroup_finite_field (class in sage.groups.matrix_gps.unitary)
SplitMetacyclicGroup (class in sage.groups.perm_gps.permgroup_named)
stabilizer() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
standardize_generator() (in module sage.groups.perm_gps.permgroup_element)
string_to_tuples() (in module sage.groups.perm_gps.permgroup_element)
strong_generating_system() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SU() (in module sage.groups.matrix_gps.unitary)
subgroup() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
subgroup_reduced() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
subgroups() (sage.groups.abelian_gps.abelian_group.AbelianGroup_class method)
(sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SuzukiGroup (class in sage.groups.perm_gps.permgroup_named)
sylow_subgroup() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
SymmetricGroup (class in sage.groups.perm_gps.permgroup_named)
SymplecticGroup_finite_field (class in sage.groups.matrix_gps.symplectic)
SymplecticGroup_generic (class in sage.groups.matrix_gps.symplectic)

T

TransitiveGroup (class in sage.groups.perm_gps.permgroup_named)
TransitiveGroups() (in module sage.groups.perm_gps.permgroup_named)
TransitiveGroupsAll (class in sage.groups.perm_gps.permgroup_named)
TransitiveGroupsOfDegree (class in sage.groups.perm_gps.permgroup_named)
transversals() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
trivial_character() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)
tuple() (sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)

U

U() (sage.groups.perm_gps.cubegroup.CubeGroup method)
undo() (sage.groups.perm_gps.cubegroup.RubiksCube method)
UnitaryGroup_finite_field (class in sage.groups.matrix_gps.unitary)
universe() (sage.groups.additive_abelian.additive_abelian_wrapper.AdditiveAbelianGroupWrapper method)
UnwrappingMorphism (class in sage.groups.additive_abelian.additive_abelian_wrapper)
upper_central_series() (sage.groups.perm_gps.permgroup.PermutationGroup_generic method)

V

value() (sage.groups.abelian_gps.values.AbelianGroupWithValuesElement method)
values_embedding() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)
values_group() (sage.groups.abelian_gps.values.AbelianGroupWithValues_class method)

W

word_problem() (in module sage.groups.abelian_gps.abelian_group)
(sage.groups.abelian_gps.abelian_group_element.AbelianGroupElement method)
(sage.groups.abelian_gps.dual_abelian_group_element.DualAbelianGroupElement method)
(sage.groups.matrix_gps.matrix_group_element.MatrixGroupElement method)
(sage.groups.perm_gps.permgroup_element.PermutationGroupElement method)

X

xproj() (in module sage.groups.perm_gps.cubegroup)

Y

young_subgroup() (sage.groups.perm_gps.permgroup_named.SymmetricGroup method)
yproj() (in module sage.groups.perm_gps.cubegroup)

Index

A | B | C | D | E | F | G | H | I | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y

Full index on one page