On the k(GV) problem

DOI10.1016/0021-8693(84)90233-3zbMath0536.20008OpenAlexW2067937158MaRDI QIDQ791631

David Gluck

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90233-3

zbMATH Keywords

blocksolvable groupsdefect groupnumber of irreducible charactersprimitive module

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20)

Related Items

The solution of the \(k(GV)\)-problem., A remark on conjectures in modular representation theory, THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY, Representations of finite groups, A conjecture on the number of characters in a p-block, A remark on Brauer's k(B)-conjecture, Self-dual modules and real vectors for solvable groups, The extraspecial case of the 𝑘(𝐺𝑉) problem, On conjectures of Olsson, Brauer, and Alperin, The quasisimple case of the \(k(GV)\)-conjecture

Cites Work

• On The Characters of p-Solvable Groups
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• Trivial Set-Stabilizers in Finite Permutation Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item