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arXiv · 1205.5834

The Noether number of the non-abelian group of order 3p

K. Cziszter
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Abstract

It is proven that for any representation over a field of characteristic 0 of the non-abelian semidirect product of a cyclic group of prime order p and the group of order 3 the corresponding algebra of polynomial invariants is generated by elements of degree at most p+2. We also determine the exact degree bound for any separating system of the polynomial invariants of any representation of this group in characteristic not dividing 3p.

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BibTeXRIS

K. Cziszter. 2012-05-25. The Noether number of the non-abelian group of order 3p. https://arxiv.org/abs/1205.5834

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