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.
CITATION STYLE
Cziszter, K., Domokos, M., & Geroldinger, A. (2016). The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. In Springer Proceedings in Mathematics and Statistics (Vol. 170, pp. 43–95). Springer New York LLC. https://doi.org/10.1007/978-3-319-38855-7_3
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