Real vectors for linear groups and the \(k(GV)\)-problem

DOI10.1016/S0021-8693(03)00428-9zbMath1032.20007OpenAlexW2038275472MaRDI QIDQ1408766

Udo Riese, Peter Schmid

Publication date: 25 September 2003

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00428-9

zbMATH Keywords

numbers of conjugacy classesfinite \(p\)-solvable groupsreal vectors\(k(B)\)-problemBrauer's \(k(GV)\)-conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items

The solution of the \(k(GV)\)-problem. ⋮ Fixed conjugacy classes of normal subgroups and the \(k(GV)\)-problem. ⋮ Enumerating finite racks, quandles and kei ⋮ Generation of finite almost simple groups by conjugates. ⋮ Signed permutation modules, Singer cycles and class numbers ⋮ On the number of conjugacy classes of a permutation group.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of characters in a \(p\)-block of a \(p\)-solvable group
• Tensor induction of projective representations
• On the number of conjugacy classes of a finite group
• Further reductions for the \(k(GV)\)-problem
• Upper bounds for the number of conjugacy classes of a finite group
• Regular orbits of linear groups with an application to the \(k(GV)\)-problem. II
• On the extraspecial case of the \(k(GV)\)-conjecture
• The \(k(GV)\) conjecture for modules in characteristic 31
• On Brauer's \(k(B)\)-problem
• The quasisimple case of the \(k(GV)\)-conjecture
• 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
• ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK
• On the Number of Characters in a Block and the k (GV ) PROBLEM FOR SELF-DUAL V
• On a class of doubly transitive groups