Article ID Journal Published Year Pages File Type
4586243 Journal of Algebra 2011 5 Pages PDF
Abstract

We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic p 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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory