The Noether number of the non-abelian group of order 3p
Representation Theory
2012-05-29 v1
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.
Keywords
Cite
@article{arxiv.1205.5834,
title = {The Noether number of the non-abelian group of order 3p},
author = {K. Cziszter},
journal= {arXiv preprint arXiv:1205.5834},
year = {2012}
}
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12 pages