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- T-group_(mathematics) abstract "In mathematics, in the field of group theory, a T-group is a group in which the property of normality is transitive, that is, every subnormal subgroup is normal. Here are some facts about T-groups:Every simple group is a T-group.Every abelian group is a T-group.Every Hamiltonian group is a T-group.Every nilpotent T-group is either abelian or Hamiltonian, because in a nilpotent group, every subgroup is subnormal.Every normal subgroup of a T-group is a T-group.Every homomorphic image of a T-group is a T-group.Every solvable T-group is metabelian.The solvable T-groups were characterized by Wolfgang Gaschütz as being exactly the solvable groups G with an abelian normal Hall subgroup H of odd order such that the quotient group G/H is a Dedekind group and H is acted upon by conjugation as a group of power automorphisms by G.A PT-group is a group in which permutability is transitive. A finite T-group is a PT-group.".
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- T-group_(mathematics) wikiPageRevisionID "660045087".
- T-group_(mathematics) wikiPageWikiLink Abelian_group.
- T-group_(mathematics) wikiPageWikiLink Category:Properties_of_groups.
- T-group_(mathematics) wikiPageWikiLink Conjugacy_class.
- T-group_(mathematics) wikiPageWikiLink Dedekind_group.
- T-group_(mathematics) wikiPageWikiLink Group_(mathematics).
- T-group_(mathematics) wikiPageWikiLink Group_action.
- T-group_(mathematics) wikiPageWikiLink Group_order.
- T-group_(mathematics) wikiPageWikiLink Group_theory.
- T-group_(mathematics) wikiPageWikiLink Hall_subgroup.
- T-group_(mathematics) wikiPageWikiLink Hamiltonian_group.
- T-group_(mathematics) wikiPageWikiLink Mathematics.
- T-group_(mathematics) wikiPageWikiLink Metabelian_group.
- T-group_(mathematics) wikiPageWikiLink Nilpotent_group.
- T-group_(mathematics) wikiPageWikiLink Normal_subgroup.
- T-group_(mathematics) wikiPageWikiLink Order_(group_theory).
- T-group_(mathematics) wikiPageWikiLink PT-group.
- T-group_(mathematics) wikiPageWikiLink Power_automorphism.
- T-group_(mathematics) wikiPageWikiLink Quasinormal_subgroup.
- T-group_(mathematics) wikiPageWikiLink Quotient_group.
- T-group_(mathematics) wikiPageWikiLink Simple_group.
- T-group_(mathematics) wikiPageWikiLink Solvable_group.
- T-group_(mathematics) wikiPageWikiLink Springer-Verlag.
- T-group_(mathematics) wikiPageWikiLink Springer_Science+Business_Media.
- T-group_(mathematics) wikiPageWikiLink Subnormal_subgroup.
- T-group_(mathematics) wikiPageWikiLink Wolfgang_Gaschütz.
- T-group_(mathematics) wikiPageWikiLinkText "T-group (mathematics)".
- T-group_(mathematics) wikiPageWikiLinkText "T-group".
- T-group_(mathematics) wikiPageWikiLinkText "T-groups".
- T-group_(mathematics) hasPhotoCollection T-group_(mathematics).
- T-group_(mathematics) wikiPageUsesTemplate Template:Citation.
- T-group_(mathematics) subject Category:Properties_of_groups.
- T-group_(mathematics) hypernym Group.
- T-group_(mathematics) type Band.
- T-group_(mathematics) comment "In mathematics, in the field of group theory, a T-group is a group in which the property of normality is transitive, that is, every subnormal subgroup is normal.".
- T-group_(mathematics) label "T-group (mathematics)".
- T-group_(mathematics) sameAs T-ryhmä.
- T-group_(mathematics) sameAs m.02qhdm7.
- T-group_(mathematics) sameAs Q7667912.
- T-group_(mathematics) sameAs Q7667912.
- T-group_(mathematics) wasDerivedFrom T-group_(mathematics)?oldid=660045087.
- T-group_(mathematics) isPrimaryTopicOf T-group_(mathematics).