Gapsets of small multiplicity

Shalom Eliahou (1) , Jean Fromentin (1)

1 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

A gapset is the complement of a numerical semigroup in 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.

Mots clés: and phrases Numerical semigroups; genus; Kunz coordi- nates; gapset filtrations

Domaines: Théorie des groupes [math.GR]

Shalom Eliahou, Jean Fromentin. Gapsets of small multiplicity. 2019. ⟨hal-02059925v2⟩