Showing 2024Show all
2 papers · 1 filter
math.CO2024
Numerical semigroups from rational matrices II: matricial dimension does not exceed multiplicity
Arsh Chhabra, Stephan Ramon Garcia, Christopher O'Neill
We continue our study of exponent semigroups of rational matrices. Our main result is that the matricial dimension of a numerical semigroup is at most its multiplicity (the least g…
math.CO2024
Numerical semigroups from rational matrices I: power-integral matrices and nilpotent representations
Arsh Chhabra, Stephan Ramon Garcia, Fangqian Zhang +1
Our aim in this paper is to initiate the study of exponent semigroups for rational matrices. We prove that every numerical semigroup is the exponent semigroup of some rational matr…