The influence of \(X\)-semipermutability of subgroups on the structure of finite groups.

DOI10.1007/s11425-009-0019-5zbMath1181.20021OpenAlexW2007108477MaRDI QIDQ1042881

Jin-Bao Li, Gui-Yun Chen

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1007/s11425-009-0019-5

zbMATH Keywords

finite groupsSylow subgroupssubnormal subgroups\(p\)-nilpotent groupssemipermutable subgroupssupplemented subgroupssupersoluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items

Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups. ⋮ A covering subgroup system for the class of \(p\)-nilpotent groups. ⋮ A characterization of solubility of finite groups ⋮ On some properties of \(X \)-semipermutable subgroups

Cites Work

• Classes of finite groups and their properties
• Finite groups with \(X\)-permutable maximal subgroups of Sylow subgroups.
• New characterizations of finite supersoluble groups.
• Finite soluble groups
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• \(X\)-semipermutable subgroups of finite groups.
• Conditionally permutable subgroups and supersolubility of finite groups.
• Schur–Zassenhaus Theorem for X-Permutable Subgroups
• Endliche Gruppen I
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