The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
Commutative Algebra
2016-07-05 v3 Combinatorics
Number Theory
Abstract
This paper surveys and develops links between polynomial invariants of finite groups, factorization theory of Krull domains, and product-one sequences over finite groups. The goal is to gain a better understanding of the multiplicative ideal theory of invariant rings, and connections between the Noether number and the Davenport constants of finite groups.
Keywords
Cite
@article{arxiv.1505.06059,
title = {The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics},
author = {K. Cziszter and M. Domokos and A. Geroldinger},
journal= {arXiv preprint arXiv:1505.06059},
year = {2016}
}
Comments
Problem 2 reformulated, plus minor corrections