Large \(p'\)-orbits for \(p\)-nilpotent linear groups

DOI10.1007/s00209-016-1686-xzbMath1397.20021OpenAlexW2392263057MaRDI QIDQ343635

David Gluck

Publication date: 28 November 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-016-1686-x

zbMATH Keywords

nilpotent blocks\(p\)-nilpotent linear groupsorbit sizes

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Finite nilpotent groups, (p)-groups (20D15) Primitive groups (20B15)

Related Items (2)

Problems on characters: solvable groups ⋮ Orbit sizes and odd order composition factors of finite linear groups

Cites Work

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• Quasi-isolated blocks and Brauer's height zero conjecture.
• On a conjecture of G. Malle and G. Navarro on nilpotent blocks.
• Large character degrees of groups of odd order
• Large orbits of elements centralized by a Sylow subgroup.
• Regular orbits of solvable linear \(p'\)-groups.
• Every coprime linear group admits a base of size two
• Blocks with equal height zero degrees
• Characters of Solvable and Symplectic Groups
• Large orbits in coprime actions of solvable groups

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