The Broue conjecture for the faithful 3-blocks of 4.M22

JOURNAL OF ALGEBRA

卷:319

Article

Mueller, Juergen¹  Schaps, Mary² 

[1] Rhein Westfal TH Aachen, Lehrstuhl D Mathemat, D-52062 Aachen, Germany

[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

关键词: Broue conjecture;    sporadic simple mathieu group;    stable equivalence;    derived equivalence;    endopermutation modules;    frobenius actions;   

DOI  :  10.1016/j.jalgebra.2008.01.043

来源: Elsevier

【 摘 要 】

We verify Broue's conjecture for the faithful 3-blocks of defect 2 of the non-split central extension of the sporadic simple Mathieu group M-22 by a cyclic group of order 4. The proof is based on a strategy due to Okuyama and Rickard, where a stable equivalence is lifted to a derived equivalence. The stable equivalence in turn is provided by exploiting a result due to Puig. To handle this particular example, next to theoretical investigations we apply a whole bunch of computational tools. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free