Constructing Numerical Semigroups of a Given Genus

Details Constructing Numerical Semigroups of a Given Genus Constructing Numerical Semigroups of a Given Genus

2009-10-12

arxiv.org/abs/0910.2075v1

Semigroup Forum 2010, Vol 80, Number 2, 242-254

Mathematics

Combinatorics

11 pages, 3 figures, 2 tables; accepted by Semigroup Forum

Scientific paper

10.1007/s00233-009-9190-9

Let n_g denote the number of numerical semigroups of genus g. Bras-Amoros conjectured that n_g possesses certain Fibonacci-like properties. Almost all previous attempts at proving this conjecture were based on analyzing the semigroup tree. We offer a new, simpler approach to counting numerical semigroups of a given genus. Our method gives direct constructions of families of numerical semigroups, without referring to the generators or the semigroup tree. In particular, we give an improved asymptotic lower bound for n_g.

Affiliated with

Also associated with

No associations

Rating

Constructing Numerical Semigroups of a Given Genus does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Constructing Numerical Semigroups of a Given Genus, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Constructing Numerical Semigroups of a Given Genus will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463941