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Kessar, Radha (2010)
Publisher: Cambridge University Press
Languages: English
Types: Article
Subjects: QA, 20C20, 16D90, Mathematics - Group Theory, Mathematics - Representation Theory

Classified by OpenAIRE into

arxiv: Mathematics::Representation Theory
Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. The proof makes use of the fact, also due to Rouquier, that a stable equivalence of Morita type between self-injective algebras induces an isomorphism between the connected components of the outer automorphism groups of the algebras.

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