A Note on TI-Subgroups of a Finite Group

DOI10.1142/S1005386714000297zbMath1291.20018OpenAlexW1995777314MaRDI QIDQ5411706

Jiangtao Shi, Cui Zhang

Publication date: 25 April 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386714000297

zbMATH Keywords

finite groupssolvabilitynormal subgroupsTI-subgroupsnon-nilpotent subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (9)

Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup. ⋮ The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups ⋮ Finite groups whose non-σ-subnormal subgroups are TI-subgroups ⋮ Invariant TI-subgroups or subnormal subgroups and structure 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 ⋮ Characterization of finite groups by the number of non-cyclic non-TI-subgroups ⋮ Finite groups in which all subgroups of non-prime-power order are TI-subgroups ⋮ Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup

Cites Work

• Finite groups whose Abelian subgroups are TI-subgroups.
• Trivial intersection groups

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