Abstract
Let G be a finite group and F a finite field. Then the conjugacy class sums form an F-basis of the centre of the group algebra FG and consequently they play an important role in modular representation theory. In this paper we present an efficient algorithm for calculating class sums in the case of permutation modules. It is applied to calculate block idempotents, which enables us to get a decomposition of permutation modules. The method has been implemented as a CAYLEY-procedure and we will give two examples. Finally, in the case of an arbitrary induced module we show that there is no advantage in restricting attention to class representatives.
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