Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587609 | Journal of Algebra | 2008 | 15 Pages |
Abstract
We verify Broué's conjecture for the faithful 3-blocks of defect 2 of the non-split central extension of the sporadic simple Mathieu group M22 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.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory