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Minimal presentations of shifted numerical monoids

Algebra & Discrete Mathematics

Speaker: Christopher O'Neill, UC Davis
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Location: 1147 MSB
Start time: Mon, Sep 26 2016, 4:10PM

Consider the family of numerical monoids S_n = <n, n + r_1, ..., n + r_k > obtained by varying n. In this talk, we exhibit periodic behavior of the minimal presentations of S_n when n is sufficiently large. As a consequence, we obtain eventual periodicity results for several arithmetic quantities arising in factorization theory.