On \(SS\)-quasinormal subgroups and the structure of finite groups.

DOI10.1007/s11425-010-4080-xzbMath1219.20022OpenAlexW2135714976MaRDI QIDQ547365

Xianbiao Wei, Xiu Yun Guo

Publication date: 1 July 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4080-x

zbMATH Keywords

finite groupsSylow subgroupssupersolvable groups\(p\)-nilpotent groups\(S\)-quasinormal subgroupspermutable subgroupssupersolvability\(p\)-nilpotency\(SS\)-quasinormal 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items

On the \(SS\)-quasinormality of the maximal subgroups of a Sylow subgroup in its normalizer., Finite groups with given systems of weakly \(S\)-propermutable subgroups, Finite groups with \(S\)-quasinormally embedded or \(SS\)-quasinormal subgroups., On \(ss\)-quasinormal or weakly \(s\)-permutably embedded subgroups of finite groups, New characterizations of p-nilpotency of finite groups, On $$s$$ s -semipermutable or ss-quasinormal subgroups of finite groups, The influence of some primary subgroups on the structure of finite groups, On weakly \(s\)-semipermutable or \(ss\)-quasinormal subgroups of finite groups, On \(\sigma\)-semipermutable subgroups of finite groups, On \(S\)-propermutable subgroups of finite groups.

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