Separating invariants for the klein four group and cyclic groups

preprint2010arXivOpen access

Abstract

We consider indecomposable representations of the Klein four group over a field of characteristic 22 and of a cyclic group of order pmpm with p,mp,m coprime over a field of characteristic pp. For each representation we explicitly describe a separating set in the corresponding ring of invariants. Our construction is recursive and the separating sets we obtain consist of almost entirely orbit sums and products.

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