Groups of operators that fix a Sylow subgroup

zbMath1028.20018MaRDI QIDQ1409675

Enrico Jabara

Publication date: 19 October 2003

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2001__105__77_0

zbMATH Keywords

soluble groupsfinite \(p\)-groupsnilpotent groupsSylow subgroupsgroups of operators

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) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Unnamed Item
• The existence of regular orbits for nilpotent groups
• Number of Sylow subgroups and \(p\)-nilpotence of finite groups
• Actions with nilpotent fixed point subgroup
• On finite groups admitting a coprime automorphism of prime order
• Fitting height of \(A\)-nilpotent groups.
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem

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