On mutually permutable products of finite groups

DOI10.4171/RLM/830zbMath1447.20011MaRDI QIDQ1730293

Ning Su, Adolfo Ballester-Bolinches, Mari Carmen Pedraza-Aguilera, Yang Ming Li

Publication date: 5 March 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

factorizationfinite grouppermutable subgroupssaturated formationmutually permutable subgroupsSylow permutability$\mathcal{F}$-residual$p$-supersolvable groupsweakly $s$-supplementationl

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

Cites Work

• Unnamed Item
• A criterion of \(p\)-hypercyclically embedded subgroups of finite groups.
• Products of finite groups.
• Finite soluble groups
• On the \(p\)-length of the mutually permutable product of two \(p\)-soluble groups
• Complemented subgroups and the structure of finite groups.
• Mutually permutable subgroups and group classes.
• ON MINIMAL WEAKLY s-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
• On weakly \(s\)-permutable subgroups of finite groups.

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