A Condition for the Supersolvability of Finite Groups

DOI10.1080/00927870903200927zbMath1205.20026OpenAlexW2090951888MaRDI QIDQ3060820

Mohamed Asaad

Publication date: 10 December 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903200927

zbMATH Keywords

finite groupsmaximal subgroupssaturated formationssolvable groupssupersolvable groupspermutable subgroupssupersolvabilitymutually permutable products

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 (3)

Some sufficient conditions for a finite group to be supersolvable. ⋮ On the abnormal structure of finite groups. ⋮ On mutually permutable products of finite groups.

Cites Work

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• Zur Vertauschbarkeit und Subnormalität von Untergruppen. (On the permutability and subnormality of subgroups)
• ON PRODUCTS OF FINITE SUPERSOLUBLE GROUPS
• A Completeness Property of certain Formations
• On MutuallyM-Permutable Products of Finite Groups
• Endliche Gruppen I
• On the supersolvability of finite groups

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