Brauer coefficients of p-subgroups associated with a p-block of a finite group

DOI10.1016/0021-8693(79)90343-0zbMath0428.20006OpenAlexW2070295942MaRDI QIDQ1137119

Michel Broué

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90343-0

zbMATH Keywords

Cartan matricesblocklocal ringmodular representationdefect groupBrauer coefficientsp-local structurep-section

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (20)

On blocks with Frobenius inertial quotient. ⋮ Bemerkungen über die Gruppenalgebra als symmetrische Algebra. IV. (Remarks on the group algebra as symmetric algebra. IV) ⋮ Lower defect groups in symmetric groups ⋮ Representations of finite groups ⋮ An inequality of block invariants ⋮ Brauer morphism between modular Hecke algebras ⋮ On scott coefficients and block invariants:an approach for non-splitting case ⋮ Morita equations and stable equivalencess for wreath products of finite groups ⋮ A block theoretic proof of Thompson's \(A\times B\)-lemma ⋮ Perfect generalized characters inducing the Alperin-McKay conjecture. ⋮ On Loewy lengths of blocks ⋮ On the connected components of the spectrums of the character rings of a finite group ⋮ Vertex and source determine the block variety of an indecomposable module. ⋮ Lower defect groups ⋮ Trivial source bimodule rings for blocks and $p$-permutation equivalences ⋮ Lower bounds on Loewy lengths of centers of blocks ⋮ On Cartan matrices and lower defect groups for covering groups of symmetric groups ⋮ Local control in fusion systems of \(p\)-blocks of finite groups. ⋮ Lower defect groups and vertices of simple modules ⋮ Scott modules and lower defect groups

Cites Work

• Sur l'induction des modules indécomposables et la projectivité rélative
• Structure locale et caractères
• Defect groups in the theory of representations of finite groups
• Locally trivial outer automorphisms of finite groups
• A note on blocks of characters of a finite group
• Some applications of the theory of blocks of characters of finite groups. IV
• Radical, hauteurs, p-sections et blocs
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