On stable equivalences and blocks with one simple module.

DOI10.1016/J.JALGEBRA.2010.01.006zbMath1196.20013OpenAlexW1995011984MaRDI QIDQ961018

Markus Linckelmann, Radha Kessar

Publication date: 29 March 2010

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

Full work available at URL: http://openaccess.city.ac.uk/1879/1/onesimple.pdf

zbMATH Keywords

defect groupsblocksirreducible Brauer charactersdecomposition numbersperfect isometriesAlperin weight conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (10)

Cartan matrices and Brauer's \(k(B)\)-conjecture V ⋮ On the lifting of the Dade group ⋮ Blocks with abelian defect groups of rank 2 and one simple module ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ On blocks with one modular character ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ Relatively stable equivalences of Morita type for blocks ⋮ On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\) ⋮ On centers of blocks with one simple module ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one

Cites Work

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• Trivial source bimodule rings for blocks and $p$-permutation equivalences
• Non-principal blocks with one simple module
• Quantum complete rings and blocks with one simple module

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