English

Gapsets of small multiplicity

Group Theory 2021-08-20 v2

Abstract

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

Cite

@article{arxiv.1903.03463,
  title  = {Gapsets of small multiplicity},
  author = {Shalom Eliahou and Jean Fromentin},
  journal= {arXiv preprint arXiv:1903.03463},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1811.10295

R2 v1 2026-06-23T08:02:18.349Z