Abstract

This note investigates the image of the transfer homomorphism for permutation representations of finite groups over finite fields. One obtains a number of results showing that the image of the transfer I(Tr) together with certain Chern classes generate the ring of invariants as an algebra. By a careful analysis of orbit sums one finds the surprising fact that the ideal I(Tr) is a prime ideal for cyclic p-groups and determines an upper bound on its height.

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