A local conjecture on Brauer character degrees of finite groups

DOI10.1090/S0002-9947-06-03888-8zbMath1113.20014arXivmath/0404483OpenAlexW1545123847WikidataQ122890412 ScholiaQ122890412MaRDI QIDQ3420281

Thorsten Holm, Wolfgang Willems

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0404483

zbMATH Keywords

Cartan matricesdefect groupsblockssimple modulesBrauer charactersCartan invariants

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Linear p- Brauer characters and p-blocks, A generalization of Murai's conjecture, On Willems' conjecture on Brauer character degrees, A counterexample to Feit's problem VIII on decomposition numbers, Some conjectures on Brauer character degrees

Cites Work

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• Die Struktur modularer Gruppenringe endlicher Gruppen der p-Länge 1
• A finite simple group of Lie type has p-blocks with different defects, \(p\neq 2\)
• On the projective characters in characteristic 2 of the groups \(Suz(2^m)\) and \(Sp_4(2^n)\)
• Blocks of tame representation type and related algebras
• A lower bound of the Perron-Frobenius eigenvalue of the Cartan matrix of a finite group
• Sone remarks on eigeyvalues of the cartan matrix in finite groups
• A Counterexample to a Conjecture on the Cartan Invariants of a Group Algebra
• On the Radical of a Group Algebra
• Notes on Representations of Finite Groups, I
• On degrees of irreducible Brauer characters
• On the radical of a group algebra