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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Knowl status:
- Review status: reviewed
- Last edited by John Jones on 2018-08-06 02:25:50
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- gg.core
- gg.tnumber
- group.abelian
- group.automorphism
- group.center
- group.central
- group.centralizer
- group.characteristic_subgroup
- group.chief_series
- group.commutator_subgroup
- group.core
- group.coset
- group.cyclic
- group.derived_series
- group.dicyclic
- group.direct_product
- group.exponent
- group.fitting_subgroup
- group.generators
- group.homomorphism
- group.inner_automorphism
- group.lower_central_series
- group.nilpotent
- group.nonsplit_product
- group.normal_series
- group.order
- group.outer_aut
- group.quotient
- group.radical
- group.representation.character
- group.semidirect_product
- group.socle
- group.solvable
- group.subgroup
- group.subgroup.centralizer
- group.subgroup.diagram
- group.subgroup.hall
- group.subgroup.normal
- group.subgroup.normalizer
- group.sylow_subgroup
- group.upper_central_series
- rcs.cande.artin
- lmfdb/artin_representations/main.py (line 116)
- lmfdb/artin_representations/templates/artin-representation-index.html (line 27)
- lmfdb/artin_representations/templates/artin-representation-index.html (line 70)
- lmfdb/artin_representations/templates/artin-representation-search.html (line 18)
- lmfdb/belyi/main.py (lines 144-150)
- lmfdb/belyi/main.py (lines 208-212)
- lmfdb/belyi/main.py (line 511)
- lmfdb/belyi/main.py (lines 521-522)
- lmfdb/belyi/main.py (line 552)
- lmfdb/belyi/templates/belyi_browse.html (line 43)
- lmfdb/belyi/templates/belyi_search_results.html (line 21)
- lmfdb/belyi/web_belyi.py (lines 156-157)
- lmfdb/belyi/web_belyi.py (line 216)
- lmfdb/belyi/web_belyi.py (lines 330-331)
- lmfdb/belyi/web_belyi.py (line 375)
- lmfdb/bianchi_modular_forms/bianchi_modular_form.py (lines 182-185)
- lmfdb/bianchi_modular_forms/bianchi_modular_form.py (line 193)
- lmfdb/higher_genus_w_automorphisms/main.py (line 388)
- lmfdb/higher_genus_w_automorphisms/main.py (line 466)
- lmfdb/higher_genus_w_automorphisms/main.py (line 530)
- lmfdb/higher_genus_w_automorphisms/main.py (line 552)
- lmfdb/higher_genus_w_automorphisms/main.py (lines 577-578)
- lmfdb/higher_genus_w_automorphisms/main.py (line 616)
- lmfdb/higher_genus_w_automorphisms/main.py (line 650)
- lmfdb/higher_genus_w_automorphisms/main.py (line 876)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-index.html (line 107)
- lmfdb/higher_genus_w_automorphisms/templates/hgcwa-search.html (line 29)
- lmfdb/lfunctions/Lfunction.py (line 1084)
- lmfdb/lfunctions/LfunctionPlot.py (line 233)
- lmfdb/lfunctions/LfunctionPlot.py (line 270)
- lmfdb/lfunctions/main.py (line 367)
- lmfdb/lfunctions/main.py (line 1038)
- lmfdb/modlmf/templates/modlmf-index.html (line 101)
- lmfdb/modlmf/templates/modlmf-search.html (line 25)
- lmfdb/siegel_modular_forms/dimensions.py (line 234)
- lmfdb/utils/search_parsing.py (line 580)
- scripts/belyi/sample_example.py (line 12)
- scripts/belyi/sample_example.py (line 34)
- scripts/higher_genus_w_automorphisms/import_cap_data.py (line 99)
- 2018-08-06 02:25:50 by John Jones (Reviewed)