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Gapsets of Small Multiplicity

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Book cover Numerical Semigroups

Part of the book series: Springer INdAM Series ((SINDAMS,volume 40))

Abstract

A gapset is the complement of a numerical semigroup in \(\mathbb N\). In this paper, we characterize all gapsets of multiplicity m ≤ 4. As a corollary, we provide a new simpler proof that the number of gapsets of genus g and fixed multiplicity m ≤ 4 is a nondecreasing function of g.

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Correspondence to Shalom Eliahou .

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Eliahou, S., Fromentin, J. (2020). Gapsets of Small Multiplicity. In: Barucci, V., Chapman, S., D'Anna, M., Fröberg, R. (eds) Numerical Semigroups . Springer INdAM Series, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-030-40822-0_5

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