The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics

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.

Problem 2 reformulated, plus minor corrections

Cited by in corpus (1)

• The Noether numbers and the Davenport constants of the groups of order less than 32