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- Abnormal_subgroup abstract "In mathematics, in the field of group theory, an abnormal subgroup is a subgroup H of a group G such that for every x ∈ G, x lies in the subgroup generated by H and H x, where Hx denotes the conjugate subgroup xHx-1.Here are some facts relating abnormality to other subgroup properties: Every abnormal subgroup is a self-normalizing subgroup, as well as a contranormal subgroup. The only normal subgroup that is also abnormal is the whole group. Every abnormal subgroup is a weakly abnormal subgroup, and every weakly abnormal subgroup is a self-normalizing subgroup. Every abnormal subgroup is a pronormal subgroup, and hence a weakly pronormal subgroup, a paranormal subgroup, and a polynormal subgroup.".
- Abnormal_subgroup wikiPageID "3593729".
- Abnormal_subgroup wikiPageLength "1877".
- Abnormal_subgroup wikiPageOutDegree "13".
- Abnormal_subgroup wikiPageRevisionID "649713005".
- Abnormal_subgroup wikiPageWikiLink Category:Subgroup_properties.
- Abnormal_subgroup wikiPageWikiLink Centralizer_and_normalizer.
- Abnormal_subgroup wikiPageWikiLink Conjugacy_class.
- Abnormal_subgroup wikiPageWikiLink Contranormal_subgroup.
- Abnormal_subgroup wikiPageWikiLink Group_(mathematics).
- Abnormal_subgroup wikiPageWikiLink Group_theory.
- Abnormal_subgroup wikiPageWikiLink Mathematics.
- Abnormal_subgroup wikiPageWikiLink Paranormal_subgroup.
- Abnormal_subgroup wikiPageWikiLink Polynormal_subgroup.
- Abnormal_subgroup wikiPageWikiLink Pronormal_subgroup.
- Abnormal_subgroup wikiPageWikiLink Subgroup.
- Abnormal_subgroup wikiPageWikiLink Weakly_abnormal_subgroup.
- Abnormal_subgroup wikiPageWikiLink Weakly_pronormal_subgroup.
- Abnormal_subgroup wikiPageWikiLinkText "abnormal subgroup".
- Abnormal_subgroup wikiPageUsesTemplate Template:Algebra-stub.
- Abnormal_subgroup wikiPageUsesTemplate Template:Cite_journal.
- Abnormal_subgroup subject Category:Subgroup_properties.
- Abnormal_subgroup hypernym H.
- Abnormal_subgroup type ChemicalCompound.
- Abnormal_subgroup type Property.
- Abnormal_subgroup comment "In mathematics, in the field of group theory, an abnormal subgroup is a subgroup H of a group G such that for every x ∈ G, x lies in the subgroup generated by H and H x, where Hx denotes the conjugate subgroup xHx-1.Here are some facts relating abnormality to other subgroup properties: Every abnormal subgroup is a self-normalizing subgroup, as well as a contranormal subgroup. The only normal subgroup that is also abnormal is the whole group.".
- Abnormal_subgroup label "Abnormal subgroup".
- Abnormal_subgroup sameAs Q4668179.
- Abnormal_subgroup sameAs m.09nmzt.
- Abnormal_subgroup sameAs Abnormal_delgrupp.
- Abnormal_subgroup sameAs Q4668179.
- Abnormal_subgroup wasDerivedFrom Abnormal_subgroup?oldid=649713005.
- Abnormal_subgroup isPrimaryTopicOf Abnormal_subgroup.