Groups with two Sylow numbers are the product of two nilpotent Hall subgroups.

DOI10.1007/s00013-012-0429-4zbMath1264.20023OpenAlexW1969060911MaRDI QIDQ1930876

Alexander Moretó

Publication date: 14 January 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-012-0429-4

zbMATH Keywords

finite groupssolvabilityproducts of subgroupsnilpotent 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)

Related Items (6)

On the Fitting Height of a Group with Two Sylow Numbers ⋮ Arithmetical conditions on invariant Sylow numbers ⋮ A solvability criterion for finite groups related to the number of Sylow subgroups ⋮ Unnamed Item ⋮ On the determination of Sylow numbers ⋮ The average number of Sylow subgroups of a finite group

Cites Work

• Number of Sylow subgroups and \(p\)-nilpotence of finite groups
• Groups with two Sylow numbers are solvable
• Sylow numbers of finite groups
• On Ree's Series of Simple Groups

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