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- Commutator_subgroup abstract "In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian. In other words, G/N is abelian if and only if N contains the commutator subgroup. So in some sense it provides a measure of how far the group is from being abelian; the larger the commutator subgroup is, the "less abelian" the group is.".
- Commutator_subgroup wikiPageExternalLink derived-subgroups-and-commutators.
- Commutator_subgroup wikiPageID "8847".
- Commutator_subgroup wikiPageLength "9948".
- Commutator_subgroup wikiPageOutDegree "49".
- Commutator_subgroup wikiPageRevisionID "673064591".
- Commutator_subgroup wikiPageWikiLink Abelian_group.
- Commutator_subgroup wikiPageWikiLink Abstract_algebra.
- Commutator_subgroup wikiPageWikiLink Addison-Wesley.
- Commutator_subgroup wikiPageWikiLink Adjoint_functors.
- Commutator_subgroup wikiPageWikiLink Alternating_group.
- Commutator_subgroup wikiPageWikiLink Artin_transfer_(group_theory).
- Commutator_subgroup wikiPageWikiLink Category:Articles_containing_proofs.
- Commutator_subgroup wikiPageWikiLink Category:Functional_subgroups.
- Commutator_subgroup wikiPageWikiLink Category:Group_theory.
- Commutator_subgroup wikiPageWikiLink Central_series.
- Commutator_subgroup wikiPageWikiLink Characteristic_subgroup.
- Commutator_subgroup wikiPageWikiLink Commutator.
- Commutator_subgroup wikiPageWikiLink Free_group.
- Commutator_subgroup wikiPageWikiLink Fully_characteristic_subgroup.
- Commutator_subgroup wikiPageWikiLink Functor.
- Commutator_subgroup wikiPageWikiLink Fundamental_group.
- Commutator_subgroup wikiPageWikiLink Generating_set_of_a_group.
- Commutator_subgroup wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Commutator_subgroup wikiPageWikiLink Group_(mathematics).
- Commutator_subgroup wikiPageWikiLink Homology_(mathematics).
- Commutator_subgroup wikiPageWikiLink Homology_group.
- Commutator_subgroup wikiPageWikiLink John_Wiley_&_Sons.
- Commutator_subgroup wikiPageWikiLink Klein_four-group.
- Commutator_subgroup wikiPageWikiLink Klein_four_group.
- Commutator_subgroup wikiPageWikiLink Lower_central_series.
- Commutator_subgroup wikiPageWikiLink Mathematics.
- Commutator_subgroup wikiPageWikiLink Nilpotent_group.
- Commutator_subgroup wikiPageWikiLink Normal_series.
- Commutator_subgroup wikiPageWikiLink Normal_subgroup.
- Commutator_subgroup wikiPageWikiLink Ordinal_number.
- Commutator_subgroup wikiPageWikiLink Perfect_core.
- Commutator_subgroup wikiPageWikiLink Perfect_group.
- Commutator_subgroup wikiPageWikiLink Perfect_radical.
- Commutator_subgroup wikiPageWikiLink Quaternion_group.
- Commutator_subgroup wikiPageWikiLink Quotient_group.
- Commutator_subgroup wikiPageWikiLink Reflective_subcategory.
- Commutator_subgroup wikiPageWikiLink Solvable_group.
- Commutator_subgroup wikiPageWikiLink Springer_Science+Business_Media.
- Commutator_subgroup wikiPageWikiLink Subgroup.
- Commutator_subgroup wikiPageWikiLink Subgroup_series.
- Commutator_subgroup wikiPageWikiLink Symmetric_group.
- Commutator_subgroup wikiPageWikiLink Transfinite_induction.
- Commutator_subgroup wikiPageWikiLink Transfinite_recursion.
- Commutator_subgroup wikiPageWikiLinkText "Commutator subgroup".
- Commutator_subgroup wikiPageWikiLinkText "Commutator subgroup#Abelianization".
- Commutator_subgroup wikiPageWikiLinkText "Commutator subgroup#Derived series".
- Commutator_subgroup wikiPageWikiLinkText "Commutator subgroup#Derived_series".
- Commutator_subgroup wikiPageWikiLinkText "abelianization map".
- Commutator_subgroup wikiPageWikiLinkText "abelianization".
- Commutator_subgroup wikiPageWikiLinkText "abelianized".
- Commutator_subgroup wikiPageWikiLinkText "commutator subgroup".
- Commutator_subgroup wikiPageWikiLinkText "derived length".
- Commutator_subgroup wikiPageWikiLinkText "derived series".
- Commutator_subgroup wikiPageWikiLinkText "derived subgroup".
- Commutator_subgroup hasPhotoCollection Commutator_subgroup.
- Commutator_subgroup id "p/c023440".
- Commutator_subgroup title "Commutator subgroup".
- Commutator_subgroup wikiPageUsesTemplate Template:Citation.
- Commutator_subgroup wikiPageUsesTemplate Template:Cite_web.
- Commutator_subgroup wikiPageUsesTemplate Template:Main.
- Commutator_subgroup wikiPageUsesTemplate Template:Springer.
- Commutator_subgroup subject Category:Articles_containing_proofs.
- Commutator_subgroup subject Category:Functional_subgroups.
- Commutator_subgroup subject Category:Group_theory.
- Commutator_subgroup hypernym Subgroup.
- Commutator_subgroup type EthnicGroup.
- Commutator_subgroup type Proof.
- Commutator_subgroup comment "In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian. In other words, G/N is abelian if and only if N contains the commutator subgroup.".
- Commutator_subgroup label "Commutator subgroup".
- Commutator_subgroup sameAs Kommutatorgruppe.
- Commutator_subgroup sameAs Subgrupo_conmutador.
- Commutator_subgroup sameAs Derivaattaryhmä.
- Commutator_subgroup sameAs Groupe_dérivé.
- Commutator_subgroup sameAs תת-חבורת_הקומוטטורים.
- Commutator_subgroup sameAs 交換子部分群.
- Commutator_subgroup sameAs 교환자_부분군.
- Commutator_subgroup sameAs Komutant.
- Commutator_subgroup sameAs Subgrupo_comutador.
- Commutator_subgroup sameAs m.02g0z.
- Commutator_subgroup sameAs Коммутант.
- Commutator_subgroup sameAs Комутант.
- Commutator_subgroup sameAs Q522216.
- Commutator_subgroup sameAs Q522216.
- Commutator_subgroup sameAs 换位子群.
- Commutator_subgroup wasDerivedFrom Commutator_subgroup?oldid=673064591.
- Commutator_subgroup isPrimaryTopicOf Commutator_subgroup.