A characterisation of soluble \(PST\)-groups

DOI10.1017/S0004972724000157MaRDI QIDQ6666605

V. G. Safonov, Aming Liu, Zhigang Wang, A. N. Skiba

Publication date: 20 January 2025

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

zbMATH Keywords

nilpotent groupfinite groupsoluble groupsubnormal subgroup\(S\)-permutable subgroupnilpotent residual of a group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Products of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Subgroups permutable with all Sylow subgroups
• Groups in which Sylow subgroups and subnormal subgroups permute.
• Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups.
• On quasinormal subgroups of finite groups
• Finite Groups whose Subnormal Subgroups Permute with all Sylow Subgroups
• Nearly s-embedded subgroups and the p-nilpotency of finite groups
• Classes of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
• On weakly \(s\)-permutable subgroups of finite groups.

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