Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has \(p'\)-order

DOI10.1515/GMJ-2022-2211OpenAlexW4311477867MaRDI QIDQ2697759

Huixuan Ren, Jiangtao Shi

Publication date: 13 April 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2211

zbMATH Keywords

Frobenius groupsolvableTI-subgroupnon-nilpotent subgroup\(p^{\prime}\)-order

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Cites Work

• Unnamed Item
• Finite groups with non-nilpotent maximal subgroups.
• Trivial intersection groups
• Invariant TI-subgroups and structure of finite groups
• Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup
• A Note on TI-Subgroups of a Finite Group

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