On some CAP-subgroups of finite groups

DOI10.1007/S41980-021-00611-WzbMath1496.20029OpenAlexW3184447990MaRDI QIDQ2169273

Xinwei Wu, Xianhua Li

Publication date: 2 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00611-w

zbMATH Keywords

factor\(p\)-nilpotent group\(p\)-supersolvable groupformation residual

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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Conditions on \(p\)-subgroups implying \(p\)-nilpotence or \(p\)-supersolvability.
• Finite groups with some generalized CAP-subgroups
• \(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.
• On minimal non-supersoluble groups.
• Local embeddings of some families of subgroups of finite groups.
• A question on partial CAP-subgroups of finite groups.
• On partial cap-subgroups of finite groups
• On partial CAP-subgroups of finite groups.
• A Generalization of Cover-Avoiding Properties in Finite Groups
• On weakly \(s\)-permutable subgroups of finite groups.

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