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- Conjugate-permutable_subgroup abstract "In mathematics, in the field of group theory, a conjugate-permutable subgroup is a subgroup that commutes with all its conjugate subgroups. The term was introduced by Tuval Foguel in 1997 and arose in the context of the proof that for finite groups, every quasinormal subgroup is a subnormal subgroup.Clearly, every quasinormal subgroup is conjugate-permutable.In fact, it is true that for a finite group: Every maximal conjugate-permutable subgroup is normal. Every conjugate-permutable subgroup is a conjugate-permutable subgroup of every intermediate subgroup containing it. Combining the above two facts, every conjugate-permutable subgroup is subnormal.Conversely, every 2-subnormal subgroup (that is, a subgroup that is a normal subgroup of a normal subgroup) is conjugate-permutable.".
- Conjugate-permutable_subgroup wikiPageID "3247924".
- Conjugate-permutable_subgroup wikiPageLength "1192".
- Conjugate-permutable_subgroup wikiPageOutDegree "12".
- Conjugate-permutable_subgroup wikiPageRevisionID "646596472".
- Conjugate-permutable_subgroup wikiPageWikiLink Category:Subgroup_properties.
- Conjugate-permutable_subgroup wikiPageWikiLink Conjugacy_class.
- Conjugate-permutable_subgroup wikiPageWikiLink Conjugate_subgroup.
- Conjugate-permutable_subgroup wikiPageWikiLink Finite_group.
- Conjugate-permutable_subgroup wikiPageWikiLink Group_theory.
- Conjugate-permutable_subgroup wikiPageWikiLink Mathematics.
- Conjugate-permutable_subgroup wikiPageWikiLink Normal_subgroup.
- Conjugate-permutable_subgroup wikiPageWikiLink Quasinormal_subgroup.
- Conjugate-permutable_subgroup wikiPageWikiLink Subgroup.
- Conjugate-permutable_subgroup wikiPageWikiLink Subnormal_subgroup.
- Conjugate-permutable_subgroup wikiPageWikiLink Tuval_Foguel.
- Conjugate-permutable_subgroup wikiPageWikiLinkText "Conjugate-permutable subgroup".
- Conjugate-permutable_subgroup wikiPageWikiLinkText "conjugate-permutable subgroup".
- Conjugate-permutable_subgroup hasPhotoCollection Conjugate-permutable_subgroup.
- Conjugate-permutable_subgroup wikiPageUsesTemplate Template:Reflist.
- Conjugate-permutable_subgroup subject Category:Subgroup_properties.
- Conjugate-permutable_subgroup hypernym Subgroup.
- Conjugate-permutable_subgroup type EthnicGroup.
- Conjugate-permutable_subgroup type Property.
- Conjugate-permutable_subgroup comment "In mathematics, in the field of group theory, a conjugate-permutable subgroup is a subgroup that commutes with all its conjugate subgroups. The term was introduced by Tuval Foguel in 1997 and arose in the context of the proof that for finite groups, every quasinormal subgroup is a subnormal subgroup.Clearly, every quasinormal subgroup is conjugate-permutable.In fact, it is true that for a finite group: Every maximal conjugate-permutable subgroup is normal.".
- Conjugate-permutable_subgroup label "Conjugate-permutable subgroup".
- Conjugate-permutable_subgroup sameAs m.0913bx.
- Conjugate-permutable_subgroup sameAs Q5161148.
- Conjugate-permutable_subgroup sameAs Q5161148.
- Conjugate-permutable_subgroup wasDerivedFrom Conjugate-permutable_subgroup?oldid=646596472.
- Conjugate-permutable_subgroup isPrimaryTopicOf Conjugate-permutable_subgroup.