The influence of TI-property and subnormality of self-centralizing subgroups of non-prime-power order on the structure of finite groups
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Publication:6070471
DOI10.2989/16073606.2023.2174912zbMath1527.20029MaRDI QIDQ6070471
Publication date: 21 November 2023
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Frobenius groupself-centralizing subgroupsubnormal subgroupTI-subgroupsubgroup of non-prime-power order
Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) 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.
- Finite groups in which all subgroups of non-prime-power order are TI-subgroups
- Invariant TI-subgroups and structure of finite 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
- A Note on TI-Subgroups of a Finite Group
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