Supersymmetric gaps of a numerical semigroup with two generators

Patricio Almirón, Julio José Moyano-Fernández

Published 2020-11-03Version 1

In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to its Wilf number. Finally, we prove that the set of supersymmetric and self-symmetric gaps completely determines the semigroup and we compare this set with the fundamental gaps of the semigroup.