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Numerical Semigroups Whose Last Gap is Large

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Abstract

Given a numerical semigroup of genus g whose last gap is larger than 2g - 5 an explicit description of the set of all sums of n gaps is obtained for each positive integer n. In particular it is shown that the technique of Buchweitz/Komeda to give non-Weierstrass semigroups cannot be applied to this case.

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  1. Departamento de Matemática - CCE - UFES 29060-900 Vitória - ES, Brasil

    Gilvan Oliveira

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  1. Gilvan Oliveira
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Correspondence to Gilvan Oliveira.

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Oliveira, G. Numerical Semigroups Whose Last Gap is Large. Semigroup Forum 69, 423–430 (2004). https://doi.org/10.1007/s00233-004-0121-5

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  • DOI: https://doi.org/10.1007/s00233-004-0121-5

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