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- Central_factor abstract "In mathematics, a central factor of a group G is a subgroup H such that there exists a subgroup K such that HK=G and every element of H commutes with every element of K. The subgroup K can in fact be taken to be the centralizer of H in G. The subgroup K is also a central factor. If H is a central factor, then every inner automorphism of G restricts to an inner automorphism of H. In particular, a central factor is always a normal subgroup. Every normal subgroup of a central factor of a group G is a normal subgroup of G.".
- Central_factor wikiPageID "46911390".
- Central_factor wikiPageLength "741".
- Central_factor wikiPageOutDegree "7".
- Central_factor wikiPageRevisionID "665820658".
- Central_factor wikiPageWikiLink Category:Group_theory.
- Central_factor wikiPageWikiLink Centralizer.
- Central_factor wikiPageWikiLink Centralizer_and_normalizer.
- Central_factor wikiPageWikiLink Group_(mathematics).
- Central_factor wikiPageWikiLink Inner_automorphism.
- Central_factor wikiPageWikiLink Mathematics.
- Central_factor wikiPageWikiLink Normal_subgroup.
- Central_factor wikiPageWikiLink Subgroup.
- Central_factor wikiPageWikiLinkText "Central factor".
- Central_factor wikiPageWikiLinkText "central factor".
- Central_factor hasPhotoCollection Central_factor.
- Central_factor wikiPageUsesTemplate Template:Algebra-stub.
- Central_factor wikiPageUsesTemplate Template:Reflist.
- Central_factor wikiPageUsesTemplate Template:Unreferenced.
- Central_factor subject Category:Group_theory.
- Central_factor hypernym H.
- Central_factor type Person.
- Central_factor comment "In mathematics, a central factor of a group G is a subgroup H such that there exists a subgroup K such that HK=G and every element of H commutes with every element of K. The subgroup K can in fact be taken to be the centralizer of H in G. The subgroup K is also a central factor. If H is a central factor, then every inner automorphism of G restricts to an inner automorphism of H. In particular, a central factor is always a normal subgroup.".
- Central_factor label "Central factor".
- Central_factor sameAs m.013cj5x7.
- Central_factor wasDerivedFrom Central_factor?oldid=665820658.
- Central_factor isPrimaryTopicOf Central_factor.