The Noether numbers for cyclic groups of prime order
Commutative Algebra
2007-05-23 v1 Representation Theory
Abstract
The Noether number of a representation is the largest degree of an element in a minimal homogeneous generating set for the corresponding ring of invariants. We compute the Noether number for an arbitrary representation of a cyclic group of prime order, and as a consequence prove the "2p-3 conjecture".
Cite
@article{arxiv.math/0508075,
title = {The Noether numbers for cyclic groups of prime order},
author = {P. Fleischmann and M. Sezer and R. J. Shank and C. F. Woodcock},
journal= {arXiv preprint arXiv:math/0508075},
year = {2007}
}