On minimal non-MSN-groups.

DOI10.1007/s11464-011-0115-zzbMath1229.20015OpenAlexW2014592757MaRDI QIDQ644526

Pengfei Guo, Xiu Yun Guo

Publication date: 4 November 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0115-z

zbMATH Keywords

maximal subgroupssubnormal groupsminimal non-MSN-groupsMSN-groups

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (4)

A Classification of Minimal Non-MNP-Groups ⋮ On minimal non-\(MSP\)-groups. ⋮ On minimal non-\(\mathcal{SNS}\)-groups. ⋮ Finite groups whose maximal subgroups of even order are MSN-groups

Cites Work

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• Nonsolvable finite groups all of whose local subgroups are solvable
• Über die Frattini-Gruppe einer endlichen Gruppe
• On a class of doubly transitive groups

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