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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 1996 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.See also Quasinormal subgroup".
- Conjugate-permutable_subgroup wikiPageExternalLink publications.html.
- Conjugate-permutable_subgroup wikiPageID "3247924".
- Conjugate-permutable_subgroup wikiPageRevisionID "453217029".
- Conjugate-permutable_subgroup hasPhotoCollection Conjugate-permutable_subgroup.
- Conjugate-permutable_subgroup subject Category:Subgroup_properties.
- Conjugate-permutable_subgroup type Abstraction100002137.
- Conjugate-permutable_subgroup type Possession100032613.
- Conjugate-permutable_subgroup type Property113244109.
- Conjugate-permutable_subgroup type Relation100031921.
- Conjugate-permutable_subgroup type SubgroupProperties.
- 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.".
- 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 sameAs Conjugate-permutable_subgroup.
- Conjugate-permutable_subgroup wasDerivedFrom Conjugate-permutable_subgroup?oldid=453217029.
- Conjugate-permutable_subgroup isPrimaryTopicOf Conjugate-permutable_subgroup.