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1997-01

Mme Bertin's Z/4 Revisited

by Neusel, M..


Series: 1997-01, Preprints

MSC:
13A50 Actions of groups on commutative rings; invariant theory
13A35 Characteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closure

Abstract:
In this note it is shown that for p--regular representations the trans-
fer is surjective in degrees prime to the characteristic of the ground
field. In particular, for groups of order 2p in their regular representa-
tion and for Z=p in any permutation representation the image of the
transfer together with (some of) the orbit chern classes generates the
ring of invariants. This applies to one of Marie-Jos'e Bertin's famous
examples.

Keywords: