AUTHOR: Mara D. Neusel
TITLE:  The Transfer in the Invariant Theory of 
        Modular Permutation Representations (Trente Ans Apr\`es)

        Pacific Journal of Mathematics
             -- to appear --

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 $\Im (\Tr)$ 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 $\Im (\Tr)$ is a prime 
ideal for cyclic $p$-groups and determines an upper bound on its height.}

AMS CODE:  13A50 Invariant Theory
KEY WORDS: Polynomial Invariants of Finite Groups, Permutation
           Representation, Transfer, $p$-Regular Representation