Large orbits of elements centralized by a Sylow subgroup.

DOI10.1007/s00013-009-0016-5zbMath1183.20020OpenAlexW2021726611MaRDI QIDQ1040658

Silvio Dolfi, Gabriel Navarro

Publication date: 25 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00013-009-0016-5

zbMATH Keywords

Sylow subgroupscompletely reducible modulesnormal \(p\)-complementslarge orbits

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Automorphisms of abstract finite groups (20D45)

Related Items (5)

Large \(p'\)-orbits for \(p\)-nilpotent linear groups ⋮ On the largest Brauer and \(p^\prime\)-character degrees ⋮ Problems on characters: solvable groups ⋮ A note on larger orbit size ⋮ Blocks with equal height zero degrees

Cites Work

• Orbit sizes of p-groups
• Large orbits in actions of nilpotent groups
• Large orbits in coprime actions of solvable groups
• [https://portal.mardi4nfdi.de/wiki/Publication:5513801 Groups with Normal, Solvable Hall p � -Subgroups]
• Endliche Gruppen I
• Unnamed Item

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