Finite \(p\)-supersoluble groups with some \(E\)-\(S\)-supplemented subgroups.

DOI10.4171/RSMUP/133-3zbMath1323.20021MaRDI QIDQ2355997

Changwen Li, Xiaolong Yu, Na Tang

Publication date: 28 July 2015

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

finite groupsSylow subgroupssubnormal subgroupssubgroup embedding propertiessupplemented subgroups\(p\)-supersoluble groupspermutably embedded subgroups\(S\)-permutable subgroups\(E\)-\(S\)-supplemented subgroups

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) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

A note on \(p\)-nilpotency of finite groups. ⋮ A NOTE ON THE -SUPERSOLUBILITY OF FINITE GROUPS ⋮ ON WEAKLY -PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS ⋮ A result on p-hypercyclically embedded subgroups

Cites Work

• Unnamed Item
• \(SE\)-supplemented subgroups of finite groups.
• Products of finite groups.
• Finite soluble groups
• Sufficient conditions for supersolubility of finite groups
• On \(c\)-normal maximal and minimal subgroups of Sylow \(p\)-subgroups of finite groups.
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On E-S-supplemented subgroups of finite groups
• ON E-SUPPLEMENTED SUBGROUPS AND THE STRUCTURE OF FINITE GROUPS
• On weakly \(s\)-permutable subgroups of finite groups.
• On \(S\)-quasinormally embedded subgroups of finite groups

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