Trivial intersection groups

DOI10.1007/BF01238459zbMath0388.20011MaRDI QIDQ1250496

Gary Lee Walls

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Dedekind groupstrivial intersection groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (24)

Finite groups whose Abelian subgroups are TI-subgroups. ⋮ Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup. ⋮ Finite nilpotent groups whose cyclic subgroups are TI-subgroups ⋮ A note on self-centralizing subgroups and general subgroups of finite groups being a TI-subgroup or subnormal ⋮ Finite groups whose non-σ-subnormal subgroups are TI-subgroups ⋮ Unnamed Item ⋮ Invariant TI-subgroups or subnormal subgroups and structure of finite groups ⋮ Second maximal invariant subgroups and solubility of finite groups ⋮ Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has \(p'\)-order ⋮ Invariant TI-subgroups and structure of finite groups ⋮ On TI-subgroups and QTI-subgroups of finite groups ⋮ Finite Groups all of Whose Second Maximal Subgroups are QTI-Subgroups ⋮ Characterization of finite groups by the number of non-cyclic non-TI-subgroups ⋮ A Note on TI-Subgroups of a Finite Group ⋮ Finite groups all of whose Abelian subgroups are QTI-subgroups. ⋮ ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP ⋮ Finite groups ⋮ Finite groups in which all subgroups of non-prime-power order are TI-subgroups ⋮ Finite groups with metacyclic QTI-subgroups ⋮ Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup ⋮ Simple groups the derived subgroups of all of whose subgroups are TI-subgroups ⋮ Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups ⋮ Finite Groups with Few TI-Subgroups ⋮ Finite Nilpotent Groups Having Exactly Four Conjugacy Classes of Non-normal Subgroups

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