On the extraspecial case of the \(k(GV)\)-conjecture

DOI10.1007/s00013-002-8233-1zbMath0997.20014OpenAlexW2061566847WikidataQ123366010 ScholiaQ123366010MaRDI QIDQ1599471

Udo Riese

Publication date: 10 June 2002

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-002-8233-1

zbMATH Keywords

orthogonal groupsextraspecial groupsfinite \(p\)-solvable groupsBrauer's \(k(B)\)-problemreal vectorsdual modules\(k(GV)\)-conjecturefinite-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) Finite nilpotent groups, (p)-groups (20D15)

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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 \(k(GV)\) conjecture for modules in characteristic 31