Arithmetical conditions on invariant Sylow numbers

DOI10.1007/s00009-018-1094-zzbMath1414.20009OpenAlexW2791037036MaRDI QIDQ1635743

Changguo Shao, Antonio Beltrán Felip

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1094-z

zbMATH Keywords

finite groupssolvable groupscoprime actionSylow numbers

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Number of Sylow subgroups and \(p\)-nilpotence of finite groups
• Actions with nilpotent fixed point subgroup
• The theory of finite groups. An introduction.
• Sylow numbers of finite groups
• Groups with two Sylow numbers are the product of two nilpotent Hall subgroups.
• Endliche Gruppen I
• Invariant Sylow subgroups and solvability of finite groups