Second maximal subgroups of a Sylow \(p\)-subgroup and the \(p\)-nilpotency of finite groups.

DOI10.1007/s11253-014-0971-2zbMath1311.20025OpenAlexW2085415980MaRDI QIDQ2260844

Yong Xu, Xianhua Li

Publication date: 12 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0971-2

zbMATH Keywords

finite groupsSylow subgroupssubnormal subgroups\(p\)-nilpotencysecond maximal subgroupsweakly semipermutable subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Maximal subgroups (20E28) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Flag-transitive finite simple groups
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Weakly \(s\)-semipermutable subgroups of finite groups.
• \(\mathfrak Z\)-permutable subgroups and \(p\)-nilpotency of finite groups.
• Ons-Semipermutable Maximal and Minimal Subgroups of Sylowp-Subgroups of Finite Groups
• Endliche Gruppen I
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