Index

A

a_invariants() (pGroupCohomology.cohomology.COHO method) add_metadata() (pGroupCohomology.barcode.BarCode2d method) append() (pGroupCohomology.cochain.YCOCH method) apply_to_chain() (pGroupCohomology.cochain.ChMap method) applyDiff() (pGroupCohomology.resolution.RESL method)

as_cocycle_in_subgroup() (pGroupCohomology.cochain.MODCOCH method) as_cocycle_in_sylow() (pGroupCohomology.cochain.MODCOCH method) as_polynomial() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) autosave_name() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method)

B

bar_code() (pGroupCohomology.cohomology.COHO method) BarCode (class in pGroupCohomology.barcode)

BarCode2d (class in pGroupCohomology.barcode) baseMTX() (in module pGroupCohomology.resolution) BensonTest() (pGroupCohomology.cohomology.COHO method)

C

candidates_of_gens() (pGroupCohomology.isomorphism_test.IsomorphismTest method) ChainmapToCochain() (pGroupCohomology.resolution.RESL method) check_arguments() (pGroupCohomology.factory.CohomologyRingFactory method) ChMap (class in pGroupCohomology.cochain) ChMap_unpickle_class (class in pGroupCohomology.cochain) coboundary() (pGroupCohomology.cochain.YCOCH method) COCH (class in pGroupCohomology.cochain) COCH_unpickle_class (class in pGroupCohomology.cochain) CochainToChainmap() (pGroupCohomology.resolution.RESL method) coef() (pGroupCohomology.cochain.MODCOCH method) (pGroupCohomology.resolution.G_ALG method) (pGroupCohomology.resolution.RESL method) coef_list() (pGroupCohomology.cochain.MODCOCH method)

COHO (class in pGroupCohomology.cohomology) COHO_from_key() (in module pGroupCohomology.modular_cohomology) COHO_prefix (class in pGroupCohomology.cohomology) COHO_Terminator (class in pGroupCohomology.cohomology) COHO_unpickle() (in module pGroupCohomology.cohomology) CohoFormatter (class in pGroupCohomology.auxiliaries) CohomologyHomset (class in pGroupCohomology.cochain) CohomologyRing() (in module pGroupCohomology) (in module pGroupCohomology.factory) CohomologyRingFactory (class in pGroupCohomology.factory) composeChainMaps() (pGroupCohomology.resolution.RESL method) composeListOfMaps() (pGroupCohomology.resolution.RESL method) create_group_key() (pGroupCohomology.factory.CohomologyRingFactory method)

D

data() (pGroupCohomology.barcode.BarCode method) (pGroupCohomology.barcode.BarCode2d method) decomposable_classes() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) deg() (pGroupCohomology.cochain.ChMap method) (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) (pGroupCohomology.cochain.YCOCH method) (pGroupCohomology.resolution.RESL method) delprop() (pGroupCohomology.cohomology.COHO method)

dependent_parameters() (pGroupCohomology.cohomology.COHO method) depth() (pGroupCohomology.cohomology.COHO method) depth_essential_ideal() (pGroupCohomology.cohomology.COHO method) DICKSON (class in pGroupCohomology.dickson) dickson_in_subgroup() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) DiffList() (pGroupCohomology.resolution.RESL method) dimension() (pGroupCohomology.cohomology.COHO method) doctest_setup() (pGroupCohomology.factory.CohomologyRingFactory method) duflot_regular_sequence() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method)

E

element_as_polynomial() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) elements() (pGroupCohomology.isomorphism_test.IsomorphismTest method) essential_ideal() (pGroupCohomology.cohomology.COHO method) expect_last_relation() (pGroupCohomology.cohomology.COHO method) explore_isomorphisms() (pGroupCohomology.isomorphism_test.IsomorphismTest method)

explore_one_parameter() (in module pGroupCohomology.cohomology) export() (pGroupCohomology.resolution.LIFTcontainer method) exportAction() (pGroupCohomology.resolution.RESL method) exportData() (pGroupCohomology.cochain.ChMap method) exportLifts() (pGroupCohomology.resolution.RESL method) exportMonomials() (pGroupCohomology.cohomology.COHO method)

F

filter_degree_type() (pGroupCohomology.cohomology.COHO method) filter_regular_gready_parameters() (pGroupCohomology.cohomology.COHO method) filter_regular_parameters() (pGroupCohomology.cohomology.COHO method) FilterDegreeType() (in module pGroupCohomology.cohomology) find_bounding_chain() (pGroupCohomology.resolution.RESL method) find_cobounding_yoneda_cochains() (pGroupCohomology.cochain.YCOCH method) find_dickson() (pGroupCohomology.cohomology.COHO method) find_dickson_in_subgroup() (pGroupCohomology.cohomology.COHO method) find_relations() (pGroupCohomology.modular_cohomology.MODCOHO method)

find_small_last_parameter() (pGroupCohomology.cohomology.COHO method) firstDiff() (pGroupCohomology.resolution.RESL method) format() (pGroupCohomology.auxiliaries.CohoFormatter method) fraction_field() (pGroupCohomology.cohomology.COHO method) free_ugb() (pGroupCohomology.resolution.RESL method) from_base_ring() (pGroupCohomology.cohomology.COHO method) from_local_sources() (pGroupCohomology.factory.CohomologyRingFactory method) from_remote_sources() (pGroupCohomology.factory.CohomologyRingFactory method) from_subgroup_tower() (pGroupCohomology.factory.CohomologyRingFactory method) from_workspace() (pGroupCohomology.factory.CohomologyRingFactory method)

G

G_ALG (class in pGroupCohomology.resolution) G_ALG() (pGroupCohomology.resolution.RESL method) G_map() (pGroupCohomology.cochain.ChMap method) GapPickler (class in pGroupCohomology.cohomology) gen() (pGroupCohomology.cohomology.COHO method) generator_degbound() (pGroupCohomology.modular_cohomology.MODCOHO method) gens() (pGroupCohomology.cohomology.COHO method) get_cache() (pGroupCohomology.cohomology.permanent_result method) (pGroupCohomology.cohomology.temporary_result method)

get_local_sources() (pGroupCohomology.factory.CohomologyRingFactory method) get_workspace() (pGroupCohomology.factory.CohomologyRingFactory method) getLifts() (pGroupCohomology.resolution.RESL method) global_options() (pGroupCohomology.factory.CohomologyRingFactory method) group() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) group_is_abelian() (pGroupCohomology.cohomology.COHO method) group_name() (pGroupCohomology.factory.CohomologyRingFactory method) grouporder() (pGroupCohomology.resolution.RESL method) gstem() (pGroupCohomology.factory.CohomologyRingFactory method)

H

hilbert_of_image() (pGroupCohomology.isomorphism_test.IsomorphismTest method) hilbert_of_image_annihilator() (pGroupCohomology.isomorphism_test.IsomorphismTest method) hilbert_of_image_radical() (pGroupCohomology.isomorphism_test.IsomorphismTest method) hilbert_of_preimage() (pGroupCohomology.isomorphism_test.IsomorphismTest method) hilbert_of_preimage_annihilator() (pGroupCohomology.isomorphism_test.IsomorphismTest method)

hilbert_of_preimage_radical() (pGroupCohomology.isomorphism_test.IsomorphismTest method) HilbertPoincareTest() (pGroupCohomology.modular_cohomology.MODCOHO method) Hom() (pGroupCohomology.cohomology.COHO method) hom() (pGroupCohomology.cohomology.COHO method) htmlpage() (pGroupCohomology.cohomology.COHO method) HV2Poly() (in module pGroupCohomology.cohomology)

I

importAction() (pGroupCohomology.resolution.RESL method) importMonomials() (pGroupCohomology.cohomology.COHO method) InitSubgroups() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) InsertSubgroup() (pGroupCohomology.cohomology.COHO method) is_filter_regular() (in module pGroupCohomology.cohomology) is_filter_regular_parameter_system() (in module pGroupCohomology.cohomology)

is_homomorphism() (pGroupCohomology.isomorphism_test.IsomorphismTest method) is_isomorphic() (pGroupCohomology.cohomology.COHO method) is_isomorphism() (pGroupCohomology.isomorphism_test.IsomorphismTest method) is_nilpotent() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) IsomorphismTest (class in pGroupCohomology.isomorphism_test) item2html() (pGroupCohomology.cohomology.COHO method)

K

kernel() (pGroupCohomology.cochain.ChMap method)

kG_map() (pGroupCohomology.resolution.G_ALG method) knownDeg() (pGroupCohomology.cochain.ChMap method)

L

l_action() (pGroupCohomology.resolution.G_ALG method) label() (pGroupCohomology.cochain.ChMap method) (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.resolution.RESL method) last_interesting_degree() (pGroupCohomology.cohomology.COHO method) lc() (pGroupCohomology.cochain.MODCOCH method) lift() (pGroupCohomology.cochain.ChMap method) (pGroupCohomology.cochain.YCOCH method)

lift_dickson() (pGroupCohomology.cohomology.COHO method) liftChainMap() (pGroupCohomology.resolution.RESL method) LIFTcontainer (class in pGroupCohomology.resolution) lm() (pGroupCohomology.cochain.MODCOCH method) lm_string() (pGroupCohomology.cochain.MODCOCH method) load_ugb() (pGroupCohomology.resolution.RESL method) lt() (pGroupCohomology.cochain.MODCOCH method)

M

make() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) make_groebner() (pGroupCohomology.cohomology.COHO method) makeAutolift() (pGroupCohomology.resolution.RESL method) makeGroupData() (in module pGroupCohomology.resolution) makeSpecialGroupData() (in module pGroupCohomology.resolution) massey_power() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) massey_products() (pGroupCohomology.cohomology.COHO method) MasseyDefiningSystems (class in pGroupCohomology.resolution) matrix() (pGroupCohomology.barcode.BarCode method) (pGroupCohomology.barcode.BarCode2d method) MODCOCH (class in pGroupCohomology.cochain) MODCOCH_unpickle() (in module pGroupCohomology.cochain) MODCOHO (class in pGroupCohomology.modular_cohomology)

MODCOHO_unpickle() (in module pGroupCohomology.modular_cohomology) module pGroupCohomology pGroupCohomology.auxiliaries pGroupCohomology.barcode pGroupCohomology.cochain pGroupCohomology.cohomology pGroupCohomology.dickson pGroupCohomology.factory pGroupCohomology.isomorphism_test pGroupCohomology.modular_cohomology pGroupCohomology.resolution MonToProd() (pGroupCohomology.cohomology.COHO method) MTX() (pGroupCohomology.cochain.COCH method) Mul() (in module pGroupCohomology.cohomology)

N

name() (pGroupCohomology.cochain.ChMap method) (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) next() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) nextDiff() (pGroupCohomology.resolution.RESL method) ngens() (pGroupCohomology.cohomology.COHO method)

nil_preimage() (pGroupCohomology.cohomology.COHO method) nil_radical() (pGroupCohomology.cohomology.COHO method) nilpotency_degree() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) nilreduce() (pGroupCohomology.cochain.MODCOCH method) nilspace() (pGroupCohomology.cohomology.COHO method) normalize() (pGroupCohomology.cochain.COCH method) nrels() (pGroupCohomology.cohomology.COHO method)

O

order() (pGroupCohomology.resolution.G_ALG method)

order_matrix() (pGroupCohomology.cohomology.COHO method) out() (pGroupCohomology.resolution.LIFTcontainer method)

P

parameter_degrees_over_field_extension() (pGroupCohomology.modular_cohomology.MODCOHO method) parameters() (pGroupCohomology.cohomology.COHO method) parameters_from_sylow_subgroup() (pGroupCohomology.modular_cohomology.MODCOHO method) parent() (pGroupCohomology.resolution.LIFTcontainer method) partial_relations() (pGroupCohomology.isomorphism_test.IsomorphismTest method) permanent_result (class in pGroupCohomology.cohomology) pGroupCohomology module pGroupCohomology.auxiliaries module pGroupCohomology.barcode module pGroupCohomology.cochain module pGroupCohomology.cohomology module pGroupCohomology.dickson module

pGroupCohomology.factory module pGroupCohomology.isomorphism_test module pGroupCohomology.modular_cohomology module pGroupCohomology.resolution module pickle_gap_data() (in module pGroupCohomology.cohomology) plot() (pGroupCohomology.barcode.BarCode2d method) poincare_of_image() (pGroupCohomology.cochain.ChMap method) poincare_series() (pGroupCohomology.cohomology.COHO method) potential_degree_bound() (pGroupCohomology.cohomology.COHO method) potential_partial_isomorphism() (pGroupCohomology.isomorphism_test.IsomorphismTest method) preimage() (pGroupCohomology.cochain.ChMap method) PrescribedRestrictions() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) printed_group_name() (pGroupCohomology.cohomology.COHO method) properties() (pGroupCohomology.cohomology.COHO method)

R

r_action() (pGroupCohomology.resolution.G_ALG method) rank() (pGroupCohomology.resolution.RESL method) rank_of_image() (pGroupCohomology.cochain.ChMap method) raw_filter_degree_type() (pGroupCohomology.cohomology.COHO method) rdeg() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) reconstruct_singular() (pGroupCohomology.cohomology.COHO method) reconstructSubgroups() (pGroupCohomology.cohomology.COHO method) rel() (pGroupCohomology.cohomology.COHO method) relation_ideal() (pGroupCohomology.cohomology.COHO method) rels() (pGroupCohomology.cohomology.COHO method)

reset() (pGroupCohomology.auxiliaries.CohoFormatter method) (pGroupCohomology.factory.CohomologyRingFactory method) RESL (class in pGroupCohomology.resolution) RESL_sparse_unpickle_class (class in pGroupCohomology.resolution) resolution() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.YCOCH method) (pGroupCohomology.cohomology.COHO method) restrict_to_subgroup() (pGroupCohomology.cohomology.COHO method) restriction_maps() (pGroupCohomology.cohomology.COHO method) restrictions_as_string() (pGroupCohomology.cohomology.COHO method) right_multiplication() (pGroupCohomology.cochain.COCH method)

S

safe_save() (in module pGroupCohomology.auxiliaries) set_cache() (pGroupCohomology.cohomology.permanent_result method) (pGroupCohomology.cohomology.temporary_result method) set_images() (pGroupCohomology.isomorphism_test.IsomorphismTest method) set_latex_name() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method) set_local_sources() (pGroupCohomology.factory.CohomologyRingFactory method) set_name() (pGroupCohomology.cochain.ChMap method) set_remote_sources() (pGroupCohomology.factory.CohomologyRingFactory method) set_ring() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method) set_workspace() (pGroupCohomology.factory.CohomologyRingFactory method) setLift() (pGroupCohomology.resolution.RESL method) setname() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method)

setprop() (pGroupCohomology.cohomology.COHO method) show() (pGroupCohomology.barcode.BarCode method) small_factor() (pGroupCohomology.cohomology.COHO method) src() (pGroupCohomology.cochain.ChMap method) stable_space() (pGroupCohomology.modular_cohomology.MODCOHO method) stable_to_polynomial() (pGroupCohomology.modular_cohomology.MODCOHO method) standard_monomials() (pGroupCohomology.cohomology.COHO method) standardCochain() (pGroupCohomology.cohomology.COHO method) str2html() (in module pGroupCohomology.cohomology) subgroup() (pGroupCohomology.modular_cohomology.MODCOHO method) subgroup_cohomology() (pGroupCohomology.modular_cohomology.MODCOHO method) subgroups() (pGroupCohomology.cohomology.COHO method) sylow_cohomology() (pGroupCohomology.modular_cohomology.MODCOHO method) sylow_subgroup() (pGroupCohomology.modular_cohomology.MODCOHO method) SymondsTest() (pGroupCohomology.cohomology.COHO method)

T

temporary_result (class in pGroupCohomology.cohomology) test_for_completion() (pGroupCohomology.cohomology.COHO method) (pGroupCohomology.modular_cohomology.MODCOHO method)

tgt() (pGroupCohomology.cochain.ChMap method) trait_names() (pGroupCohomology.cohomology.COHO method)

U

ugb_liftChainMap() (pGroupCohomology.resolution.RESL method) unit_test_64() (in module pGroupCohomology.factory) unpickle_gap_data() (in module pGroupCohomology.cohomology)

unpickle_old_mtx (class in pGroupCohomology.auxiliaries) unpickle_old_resl (class in pGroupCohomology.auxiliaries) unquotiented_domain() (pGroupCohomology.isomorphism_test.IsomorphismTest method) urbild_GB() (pGroupCohomology.isomorphism_test.IsomorphismTest method)

V

V() (pGroupCohomology.dickson.DICKSON method) val_str() (pGroupCohomology.cochain.MODCOCH method)

value() (pGroupCohomology.cochain.MODCOCH method) values() (pGroupCohomology.resolution.MasseyDefiningSystems method) verify_parameters_exist() (pGroupCohomology.cohomology.COHO method)

Y

YCOCH (class in pGroupCohomology.cochain) ydeg() (pGroupCohomology.cochain.COCH method) (pGroupCohomology.cochain.MODCOCH method)

yoneda_coboundary() (pGroupCohomology.resolution.RESL method) yoneda_cocycle() (pGroupCohomology.cochain.COCH method)