TY - JOUR
AU - Joshua Arroyo
AU - Jackson Autry
AU - Charlotte Crandall
AU - Jess Lefler
AU - Vadim Ponomarenko
PY - 2020/04/17
Y2 - 2021/03/01
TI - On Numerical Semigroups with Almost-Maximal Genus
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 3
IS - 0
SE - Articles
DO -
UR - https://journals.calstate.edu/pump/article/view/2283
AB - A numerical semigroup is a cofinite subset of N0, containing 0, that is closed under addition. Its genus is the number of nonnegative integers that are missing. A numerical set is a similar object, not necessarily closed under addition. If T is a numerical set, then A(T)={n in N0 : n+T is a subset of T} is a numerical semigroup. Recently a paper appeared counting the number of numerical sets T where A(T) is a numerical semigroup of maximal genus. We count the number of numerical sets T where A(T) is a numerical semigroup of almost-maximal genus, i.e. genus one smaller than maximal.
ER -