Finite groups whose maximal subgroups of Sylow \(p\)-subgroups admit a \(p\)-solvable supplement.

DOI10.1007/S11425-012-4485-9zbMath1270.20014OpenAlexW2262025405MaRDI QIDQ1955504

Guohua Qian

Publication date: 11 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11425-012-4485-9

zbMATH Keywords

finite groupsmaximal subgroups\(p\)-solvable groupsSylow subgroupssupplements

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) Maximal subgroups (20E28) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups. ⋮ A solvability criterion for finite groups ⋮ On \(w\)-\(s\)-permutable subgroups of a finite group ⋮ Natural factors of the Medvedev lattice capturing IPC ⋮ Nearly s-semipermutable subgroups and p-nilpotency ⋮ Onsse-embedded subgroups of finite groups

Cites Work

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