Finite groups with weakly S-quasinormal subgroups

DOI10.2478/s12175-012-0022-0zbMath1316.20022OpenAlexW2015916769MaRDI QIDQ2883985

Zhixin Zhao

Publication date: 14 May 2012

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-012-0022-0

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupsSylow subgroupsproducts of subgroupssaturated formationsminimal subgroupssubgroup embedding propertiesFitting subgroupweakly \(S\)-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) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• On minimal subgroups of finite groups
• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On quasinormal subgroups of finite groups
• On maximal subgroups of Sylow subgroups of inite groups

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