The defect groups of a clique, p-solvable groups, and Alperin's conjecture.

DOI10.1515/crll.1995.468.1zbMath0834.20008OpenAlexW3147489428WikidataQ123222460 ScholiaQ123222460MaRDI QIDQ4858279

Harald Ellers

Publication date: 18 March 1996

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002213109

zbMATH Keywords

weightsfinite groupsdefect groupsAlperin's weight conjecture\(p\)-solvable groupsirreducible modulesBrauer's first main theoremnumber of conjugacy classes\(H\)-cliques

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 (4)

Local representation theory and möbius inversion ⋮ Block theory, branching rules, and centralizer algebras. ⋮ Searching for more general weight conjectures, using the symmetric group as an example. ⋮ Modular centralizer algebras corresponding to \(p\)-groups.

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