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Broué's abelian defect group conjecture for alternating groups
Authors:Andrei Marcus
Affiliation:``Babes-Bolyai" University, Faculty of Mathematics and Computer Science, Str. Mihail Kogalniceanu nr. 1, RO-40084 Cluj-Napoca, Romania
Abstract:We establish Broué's abelian defect group conjecture for the alternating groups, using the Chuang-Rouquier theorem (proving this for the symmetric groups) and a descent result.

Keywords:Symmetric groups   alternating groups   blocks   abelian defect groups   Rickard equivalences   splendid tilting complex   group graded algebras
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