The extraspecial case of the 𝑘(𝐺𝑉) problem

DOI10.1090/S0002-9947-01-02839-2zbMath0984.20010OpenAlexW1495124626MaRDI QIDQ2750955

Kay Magaard, David Gluck

Publication date: 21 October 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02839-2

zbMATH Keywords

finite solvable groupsblocksextraspecial groupsnumbers of irreducible complex charactersreal vectors\(k(B)\)-problemBrauer's \(k(GV)\)-conjecturefinite-dimensional faithful modules

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Maximal subgroups (20E28) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33)

Related Items (6)

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 ⋮ Regular orbits of linear groups with an application to the \(k(GV)\)-problem. I ⋮ The quasisimple case of the \(k(GV)\)-conjecture ⋮ The \(k(GV)\) conjecture for modules in characteristic 31

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