Supersymmetric gaps of a numerical semigroup with two generators
arXiv:2011.01690 · doi:10.1080/00927872.2022.2058521
Abstract
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 their Wilf number. 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.
arXiv commentv3: subsection 4.3 has been improved, minor changes in the rest of the manuscript;v2:Statements and proofs of Proposition 4.7 and 4.11 have changed. Comments are welcome. 19 pages