The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics

Cziszter, Kálmán Sándor and Domokos, Mátyás and Geroldinger, A. (2016) The interplay of invariant theory with multiplicative ideal theory and with arithmetic combinatorics. In: Multiplicative Ideal Theory and Factorization Theory. Springer Proceedings in Mathematics & Statistics (170). Springer, Berlin; Heidelberg; New York, pp. 43-95. ISBN 978-3-319-38853-3

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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. © Springer International Publishing Switzerland 2016.

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