%0 Journal Article %T Bounds for Hochschild cohomology of block algebras %A Radha Kessar %A Markus Linckelmann %J Mathematics %D 2010 %I arXiv %X We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic the dimension of HH^n(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. %U http://arxiv.org/abs/1012.3558v1