Abstract
Let G be a finite group acting linearly on a finite dimensional vector space V defined over a field k of characteristic p, where p is assumed to divide the group order. Let R := S(V *) be the symmetric algebra of the dual on which G acts naturally by algebra automorphisms. We study the R G -modules H i (G, R) for i > 0. In particular we give a formula which describes the annihilator of a general element of H i (G, R) in terms of the relative transfer ideals of R G , and consequently prove that the associated primes of these cohomology modules are equal to the radicals of certain relative transfer ideals.
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