The Transfer in the Invariant Theory of Modular Permutation Representations
نویسندگان
چکیده
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.
منابع مشابه
The transfer in modular invariant theory 1
We study the transfer homomorphism in modular invariant theory paying particular attention to the image of the transfer which is a proper non-zero ideal in the ring of invariants. We prove that, for a p-group over Fp whose ring of invariants is a polynomial algebra, the image of the transfer is a principal ideal. We compute the image of the transfer for SLn(Fq) and GLn(Fq) showing that both ide...
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