Finite groups whose non-abelian self-centralizing subgroups are TI-subgroups or subnormal subgroups

DOI10.1142/S0219498821500407zbMath1506.20049OpenAlexW2996484796MaRDI QIDQ4988229

Yuqing Sun, Jiakuan Lu, Wei Meng

Publication date: 12 May 2021

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

Full work available at URL: https://doi.org/10.1142/s0219498821500407

zbMATH Keywords

Frobenius groupself-centralizing subgroupsubnormal subgroupTI-subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35)

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 self-centralizing subgroup is nilpotent or subnormal or a TI-subgroup

Cites Work

• Finite groups in which every subgroup is a subnormal subgroup or a TI-subgroup.
• Finite groups whose Abelian subgroups are TI-subgroups.
• Trivial intersection groups
• On groups whose self-centralizing subgroups are normal
• Endliche Gruppen I
• Unnamed Item

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