Work

Numerical Semigroups with $a_e = 2g+1$

Year: 2026

Type: preprint

Abstract: This article discusses numerical semigroups having a generator which is as large as possible. This turns out to be $2g+1$, where $g$ is the genus of the semigroup. We will show that these semigroups are closely related to symmetric semigroups and have interesting symmetry properties themselves. Furthermore we will show that Wilf's question has a positive answer for these semigroups and some semigroups derived thereof.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.21948

Authors: Hellus, Michael, Hübl, Reinhold, Rechenauer, Anton

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7156057459

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