On the genus of a quotient of a numerical semigroup
arXiv:1809.09360 · doi:10.1007/s00233-018-9989-3
Abstract
We find a relation between the genus of a quotient of a numerical semigroup and the genus of itself. We use this identity to compute the genus of a quotient of when has embedding dimension . We also exhibit identities relating the Frobenius numbers and the genus of quotients of numerical semigroups that are generated by certain types of arithmetic progressions.