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

Cziszter, Kálmán Sándor (2014) The Noether number of the non-abelian group of order 3p. PERIODICA MATHEMATICA HUNGARICA, 68 (2). pp. 150-159. ISSN 0031-5303

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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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