Year: 2026
Type: article
Abstract: In this paper, we introduce a new depicting of the so-called numerical semigroup tree T. By exploring computationally this improved picture, relying on the type notion of a semigroup, we found that the number of semigroups of genus g and type t is constant when t is close to g while g grows. We also study the unimodality of various sequences as well as the behavior of the leaves in T. We put forward several conjectures that are supported by various computational experiments.
Source: Experimental Mathematics
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7119099976