A note on self-centralizing subgroups and general subgroups of finite groups being a TI-subgroup or subnormal

DOI10.1142/S0219498824500087zbMath1527.20028OpenAlexW4296018863MaRDI QIDQ6084811

Jiangtao Shi

Publication date: 2 December 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498824500087

zbMATH Keywords

self-centralizing subgroupsubnormal subgroupTI-subgroupnon-nilpotent subgroupnon-abelian subgroup

Mathematics Subject Classification ID

Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35)

Cites Work

• Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup.
• Trivial intersection groups
• Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups
• Finite groups in which every self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup
• Finite groups in which every non-abelian subgroup is a TI-subgroup or a subnormal subgroup

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