Abstract
Let H be a Krull monoid with finite class group G such that every class contains a prime divisor. Then the global tame degree equals zero if and only if H is factorial (equivalently, |G| = 1). If |G| > 1, then , where is the Davenport constant of G. We analyze the case when equals the lower bound, and we show that grows asymptotically as the upper bound, when both terms are considered as functions of the rank of G. We provide more precise results if G is either cyclic or an elementary 2-group.
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