Separating invariants for the klein four group and cyclic groups

Details Separating invariants for the klein four group and cyclic groups Separating invariants for the klein four group and cyclic groups

2010-07-29

arxiv.org/abs/1007.5197v1

Mathematics

Commutative Algebra

8 pages

Scientific paper

We consider indecomposable representations of the Klein four group over a field of characteristic $2$ and of a cyclic group of order $pm$ with $p,m$ coprime over a field of characteristic $p$. 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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