The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
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چکیده
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.
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تاریخ انتشار 2015