Influence of the number of Sylow subgroups on solvability of finite groups

DOI10.5802/crmath.146zbMath1472.20027OpenAlexW3123364033MaRDI QIDQ2223438

Alexander Moretó, Chimere Stanley Anabanti, Mohammad Zarrin

Publication date: 29 January 2021

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.146

zbMATH Keywords

Sylow subgroupssolvable groupsSylow numberssolvability criterion

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) Finite simple groups and their classification (20D05)

Related Items

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Uses Software

• GAP

Cites Work

• Subgroups of prime power index in a simple group
• In search of nonsolvable groups of central type
• The theory of finite groups. An introduction.
• On the number of Sylow subgroups in a finite group
• A solvability criterion for finite groups related to the number of Sylow subgroups
• Nonsolvable finite groups all of whose local subgroups are solvable
• On a class of doubly transitive groups