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

By K. Cziszter, Mátyás Domokos, Alfred Geroldinger. 2015

62 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/5d5b5bd4774873286d75268647ea1118c3b50ecf