The set of numerical semigroups of a given multiplicity and Frobenius number

Published 11 Apr 2019 in math.GR | (1904.05551v1)

Abstract: We study the structure of the family of numerical semigroups with fixed multiplicity and Frobenius number. We give an algorithmic method to compute all the semigroups in this family. As an application we compute the set of all numerical semigroups with given multiplicity and genus.

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