Degree bound for separating invariants of abelian groups
Commutative Algebra
2016-02-23 v1 Number Theory
Rings and Algebras
Abstract
It is proved that the universal degree bound for separating polynomial invariants of a finite abelian group (in non-modular characteristic) is strictly smaller than the universal degree bound for generators of polynomial invariants, unless the goup is cyclic or is the direct product of even order cyclic groups where the number of two-element direct factors is not less than the integer part of the half of . A characterization of separating sets of monomials is given in terms of zero-sum sequences over abelian groups.
Cite
@article{arxiv.1602.06597,
title = {Degree bound for separating invariants of abelian groups},
author = {M. Domokos},
journal= {arXiv preprint arXiv:1602.06597},
year = {2016}
}