Finite groups with regular orbits on vector spaces

DOI10.1016/0021-8693(86)90180-8zbMath0604.20014OpenAlexW1966134857MaRDI QIDQ1083530

Peter Fleischmann

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90180-8

zbMATH Keywords

nilpotent groupscharacter degreesregular orbitp-group

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (7)

On the size of the nilpotent residual in finite groups ⋮ The existence of regular orbits ⋮ Regular orbits on symplectic modules ⋮ On vanishing class sizes in finite groups ⋮ REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC ⋮ Orbit sizes of p-groups ⋮ A brief note on the noncoprime regular module problem

Cites Work

• Auflösbare Gruppen auf denen nicht auflösbare Gruppen operieren
• The existence of regular orbits for nilpotent groups
• Endliche Gruppen mit vielen Untergruppen.
• Endliche Gruppen I

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