Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup

DOI10.21136/CMJ.2021.0512-20OpenAlexW3177974848MaRDI QIDQ5016090

Jiangtao Shi, Na Li

Publication date: 10 December 2021

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

Full work available at URL: https://doi.org/10.21136/cmj.2021.0512-20

zbMATH Keywords

subnormalnilpotentTI-subgroupself-centralizing\(p\)-complement

Mathematics Subject Classification ID

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

Related Items (3)

The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups ⋮ A note on self-centralizing subgroups and general subgroups of finite groups being a TI-subgroup or subnormal ⋮ Finite groups in which every non-nilpotent subgroup is a TI-subgroup or has \(p'\)-order

Cites Work

• Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup.
• Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups
• Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup
• A Note on TI-Subgroups of a Finite Group

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