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math.GR2023
A verification of Wilf's conjecture up to genus 100
Manuel Delgado, Shalom Eliahou, Jean Fromentin
For a numerical semigroup , let denote its multiplicity, embedding dimension, conductor and genus, respectively. Wilf's conjecture (1978) states t…
math.GR2019
Gapsets of small multiplicity
Shalom Eliahou, Jean Fromentin
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…
math.GR2006
Matchings in arbitrary groups
Shalom Eliahou, Cedric Lecouvey
A matching in a group G is a bijection f from a subset A to a subset B in G such that af(a) does not belong to A for all a in A. The group G is said to have the matching property i…