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Bounds for Hochschild cohomology of block algebras

Published 16 Dec 2010 in math.RT, math.GR, and math.KT | (1012.3558v1)

Abstract: We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic the dimension of HHn(B) is bounded by a function depending only on the nonnegative integer n and the defect of B. The proof uses in particular a theorem of Brauer and Feit which implies the result for n=0.

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