The quasisimple case of the \(k(GV)\)-conjecture

DOI10.1006/jabr.2000.8461zbMath0977.20002OpenAlexW2082164436WikidataQ123302466 ScholiaQ123302466MaRDI QIDQ1840606

Udo Riese

Publication date: 10 October 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8461

zbMATH Keywords

\(p\)-solvable groupsnumbers of charactersquasisimple groupsfaithful modules\(k(B)\)-problemBrauer's \(k(GV)\)-conjectureweakly real vectors

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

A Note on thek(GV)-Problem and the Binomial Formula ⋮ The solution of the \(k(GV)\)-problem. ⋮ Real vectors for linear groups and the \(k(GV)\)-problem ⋮ Self-dual modules and real vectors for solvable groups ⋮ The extraspecial case of the 𝑘(𝐺𝑉) problem ⋮ Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I ⋮ The \(k(GV)\) conjecture for modules in characteristic 31

Uses Software

• GAP

Cites Work

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• Further reductions for the \(k(GV)\)-problem
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. II
• Regular orbits of linear groups
• On Brauer's \(k(B)\)-problem
• Some remarks on the \(k(GV)\) problem
• Self-dual modules and real vectors for solvable groups
• The number of conjugacy classes in a finite group
• The extraspecial case of the 𝑘(𝐺𝑉) problem
• Group actions on Cartesian powers with applications to represenation theory.
• On the Number of Characters in a Block and the k (GV ) PROBLEM FOR SELF-DUAL V