On Brauer's \(k(B)\)-problem for blocks of \(p\)-solvable groups with non-Abelian defect groups.

DOI10.1016/j.jalgebra.2004.06.033zbMath1077.20016OpenAlexW1970940065MaRDI QIDQ1763911

Geoffrey R. Robinson

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.033

zbMATH Keywords

defect groupsnumbers of irreducible characters\(p\)-solvable groups\(p\)-blocks

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items

On a minimal counterexample to Brauer's \(k(B)\)-conjecture, On Héthelyi-Külshammer's conjecture for principal blocks, Simple proofs of some theorems in block theory of finite groups., On the non-coprime \(k(GV)\)-problem., Signed permutation modules, Singer cycles and class numbers, On blocks with abelian defect groups of small rank, On the commuting probability in finite groups., Solution of Brauer's \(k(B)\)-conjecture for \(\pi\)-blocks of \(\pi\)-separable groups, The non-coprime \(k(GV)\) problem.

Cites Work

• Unnamed Item
• On the number of characters in a \(p\)-block of a \(p\)-solvable group
• On the number of conjugacy classes of a finite group
• On Brauer's \(k(B)\)-problem
• The solution 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