On the Fitting Height of a Group with Two Sylow Numbers

DOI10.1080/00927872.2014.927474zbMath1327.20017OpenAlexW1591098575MaRDI QIDQ3448282

Glen Collins, Flavell, Paul

Publication date: 23 October 2015

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

Full work available at URL: https://doi.org/10.1080/00927872.2014.927474

zbMATH Keywords

finite groupssolvabilityproducts of subgroupsorder boundsFitting heightnilpotent Hall subgroupsSylow numbersnumbers of Sylow subgroups

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Products of subgroups of abstract finite groups (20D40)

Cites Work

• Groups with two Sylow numbers are the product of two nilpotent Hall subgroups.
• Characterizations of the solvable radical

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