On stable equivalences and blocks with one simple module
نویسندگان
چکیده
منابع مشابه
Self-equivalences of Stable Module Categories
Let P be an abelian p-group, E a cyclic p′-group acting freely on P and k an algebraically closed field of characteristic p > 0. In this work, we prove that every self-equivalence of the stable module category of k[P oE] comes from a self-equivalence of the derived category of k[P o E]. Work of Puig and Rickard allows us to deduce that if a block B with defect group P and inertial quotient E is...
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A conjecture of Michel Brou e states that if D is an abelian Sylow p-subgroup of a nite group G, and H = N G (D), then the principal blocks of G and H are Rickard equivalent. The structure of groups with abelian Sylow p-subgroups, as determined by P. Fong and M.E. Harris, raises the following question: assuming that Brou e's conjecture holds for the simple components of G, under what conditions...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2010
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2010.01.006