FINITE GROUPS IN WHICH ALL NONABELIAN SUBGROUPS ARE TI-SUBGROUPS

DOI10.1142/S0219498813500746zbMath1285.20020OpenAlexW1992627425MaRDI QIDQ5746962

Cui Zhang, Jiangtao Shi

Publication date: 11 February 2014

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

Full work available at URL: https://doi.org/10.1142/s0219498813500746

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 (6)

Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup. ⋮ Finite groups whose non-σ-subnormal subgroups are TI-subgroups ⋮ On TI-subgroups and QTI-subgroups 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 non-abelian subgroup is a TI-subgroup or a subnormal subgroup

Cites Work

• A note on TI-subgroups of finite groups.
• ON A FINITE GROUP IN WHICH EVERY NON-ABELIAN SUBGROUP IS A TI-SUBGROUP

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