Self-dual modules and real vectors for solvable groups

DOI10.1006/jabr.1999.8231zbMath0968.20003OpenAlexW1971409039MaRDI QIDQ1977564

Peter Schmid, Udo Riese

Publication date: 18 June 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8231

zbMATH Keywords

finite solvable groupsdefect groupsirreducible charactersblocksBrauer charactersself-dual modulesBrauer's \(k(B)\)-problemreal vectorsfinite-dimensional faithful modules

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

The solution of the \(k(GV)\)-problem., Real vectors for linear groups and the \(k(GV)\)-problem, The extraspecial case of the 𝑘(𝐺𝑉) problem, The quasisimple case of the \(k(GV)\)-conjecture

Cites Work

• Unnamed Item
• On the number of characters in a \(p\)-block of a \(p\)-solvable group
• On the k(GV) problem
• Tensor induction of projective representations
• Further reductions for the \(k(GV)\)-problem
• On Brauer's \(k(B)\)-problem
• The quasisimple case of the \(k(GV)\)-conjecture
• Automorphisms of extra special groups and nonvanishing degree 2 cohomology
• Some remarks on the \(k(GV)\) problem
• The extraspecial case of the 𝑘(𝐺𝑉) problem
• Solvable and Nilpotent Subgroups of GL(n,q^m)
• On the Number of Characters in a Block and the k (GV ) PROBLEM FOR SELF-DUAL V
• Characters of Solvable and Symplectic Groups