A group $\langle G, *\rangle$ is a set $G$ with a binary operation $*$ such that
- $*$ is associative
- $*$ has an identity element
- every element $g\in G$ has an inverse.
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- Review status: reviewed
- Last edited by John Jones on 2018-08-06 02:25:50
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- artin.frobenius_schur_indicator
- gg.concentrated
- gg.generic_polynomial
- gg.semiconcentrated
- gg.tnumber
- gg.transitivity
- group.abelian
- group.abstract.18.4.bottom
- group.abstract.64.116.top
- group.action
- group.aut_phi_ratio
- group.autjugate_subgroup
- group.automorphism
- group.center
- group.central
- group.central_quotient
- group.centralizer
- group.characteristic_subgroup
- group.chief_series
- group.commutator_subgroup
- group.complex_character_table
- group.conjugacy_class
- group.conjugacy_class.power_classes
- group.core
- group.coset
- group.cyclic
- group.derived_series
- group.dicyclic
- group.direct_product
- group.division
- group.division_maximal
- group.element_order
- group.elementary
- group.exponent
- group.fitting_subgroup
- group.gassmann_equivalence
- group.generators
- group.group_ring
- group.haar_measure
- group.homomorphism
- group.hyperelementary
- group.inner_automorphism
- group.label
- group.label_complex_group_char
- group.label_rational_group_char
- group.lie_type
- group.lower_central_series
- group.maximal_quotient
- group.min_faithful_linear
- group.minimal_normal
- group.nilpotent
- group.nonsplit_product
- group.normal_series
- group.order
- group.outer_aut
- group.perfect
- group.permutation_degree
- group.pgroup
- group.proper_subgroup
- group.quotient
- group.radical
- group.rank
- group.rational_character_table
- group.representation.character
- group.representation.irrep
- group.representation.rational_character
- group.representation.type
- group.semidirect_product
- group.socle
- group.solvable
- group.sort_order
- group.stem_group
- group.subgroup
- group.subgroup.centralizer
- group.subgroup.diagram
- group.subgroup.hall
- group.subgroup.normal
- group.subgroup.normalizer
- group.subgroup_isolabel
- group.sylow_subgroup
- group.torsion
- group.transitive_degree
- group.trivial_subgroup
- group.type
- group.upper_central_series
- group.wreath_product
- portrait.gg
- rcs.cande.artin
- ring.characteristic
- ring.unit
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- lmfdb/artin_representations/main.py (line 529)
- lmfdb/artin_representations/main.py (line 552)
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- lmfdb/belyi/main.py (lines 148-154)
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- lmfdb/belyi/web_belyi.py (line 533)
- lmfdb/belyi/web_belyi.py (line 578)
- lmfdb/bianchi_modular_forms/bianchi_modular_form.py (lines 256-259)
- lmfdb/bianchi_modular_forms/bianchi_modular_form.py (line 267)
- lmfdb/ecnf/isog_class.py (line 115)
- lmfdb/elliptic_curves/isog_class.py (line 153)
- lmfdb/galois_groups/main.py (line 119)
- lmfdb/galois_groups/main.py (line 473)
- lmfdb/galois_groups/main.py (line 528)
- lmfdb/galois_groups/templates/gg-index.html (line 28)
- lmfdb/groups/abstract/main.py (lines 1986-1992)
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- lmfdb/groups/abstract/main.py (lines 4054-4056)
- lmfdb/groups/abstract/main.py (lines 4071-4073)
- lmfdb/groups/abstract/stats.py (lines 216-232)
- lmfdb/groups/abstract/test_browse_page.py (line 45)
- lmfdb/groups/abstract/web_groups.py (line 1603)
- lmfdb/groups/abstract/web_groups.py (line 1612)
- lmfdb/groups/glnC/main.py (line 116)
- lmfdb/groups/glnC/main.py (lines 123-125)
- lmfdb/groups/glnC/main.py (lines 157-158)
- lmfdb/groups/glnC/main.py (line 226)
- lmfdb/groups/glnQ/main.py (lines 107-113)
- lmfdb/groups/glnQ/main.py (lines 145-146)
- lmfdb/groups/glnQ/main.py (line 210)
- lmfdb/higher_genus_w_automorphisms/main.py (line 217)
- lmfdb/higher_genus_w_automorphisms/main.py (lines 229-230)
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- lmfdb/higher_genus_w_automorphisms/main.py (line 1362)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-index.html (line 20)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-stats.html (line 54)
- lmfdb/lfunctions/Lfunction.py (line 725)
- lmfdb/lfunctions/LfunctionPlot.py (line 234)
- lmfdb/lfunctions/LfunctionPlot.py (line 269)
- lmfdb/lfunctions/main.py (line 1801)
- lmfdb/modlmf/templates/modlmf-index.html (line 101)
- lmfdb/modlmf/templates/modlmf-search.html (line 25)
- lmfdb/sato_tate_groups/main.py (line 1056)
- lmfdb/siegel_modular_forms/dimensions.py (line 222)
- lmfdb/utils/graph_utils.py (line 22)
- lmfdb/utils/graph_utils.py (line 29)
- lmfdb/utils/search_parsing.py (line 1088)
- scripts/belyi/old/sample_example.py (line 12)
- scripts/belyi/old/sample_example.py (line 34)
- scripts/higher_genus_w_automorphisms/hgcwa_complete_table.py (line 47)
- scripts/higher_genus_w_automorphisms/import_cap_data.py (line 108)
- scripts/higher_genus_w_automorphisms/unique_groups_table.py (lines 38-42)
- scripts/higher_genus_w_automorphisms/unique_groups_table.py (lines 54-59)