Groups in which the maximal subgroups of the Sylow subgroups satisfy certain permutability conditions.

zbMath1313.20014MaRDI QIDQ462241

James C. Beidleman, Matthew F. Ragland

Publication date: 3 November 2014

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssupersolvable groupstransitive normalitysemipermutable subgroupsFrattini subgroupT-groupsnilpotent Hall subgroupsnilpotent residual

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

On S-semipermutable subgroups and soluble PST-groups ⋮ T-groups, polycyclic groups, and finite quotients. ⋮ SEMIPERMUTABILITY IN GENERALISED SOLUBLE GROUPS ⋮ On two classes of finite supersoluble groups

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