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arXiv · 1007.5197

Separating invariants for the klein four group and cyclic groups

Martin Kohls·Mufit Sezer
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Abstract

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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Martin Kohls, Mufit Sezer. 2010-07-29. Separating invariants for the klein four group and cyclic groups. https://arxiv.org/abs/1007.5197

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