ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP

DOI10.1142/S0219498812501782zbMath1267.20029OpenAlexW1975687020MaRDI QIDQ4916167

Jiangtao Shi, Wei Meng, Cui Zhang

Publication date: 19 April 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501782

zbMATH Keywords

finite groupsFrobenius groupsmaximal subgroupsTI-subgroupsnon-Abelian 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 (5)

Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup. ⋮ Invariant TI-subgroups or subnormal subgroups and structure of finite groups ⋮ 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 NONABELIAN SUBGROUPS ARE TI-SUBGROUPS

Cites Work

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

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