GAP Package NumericalSgps

The NumericalSgps package, is a package to compute with numerical semigroups.

The current version of this package is version 1.4.0, released on 2024-08-30. For more information, please refer to the package manual. There is also a README file.

License: GPL-2.0-or-later

Dependencies

This package requires GAP version 4.7

Authors

Manuel Delgado, Pedro A. Garcia-Sanchez, Jose Morais.

Contributors

Carmelo Cisto, Benjamín Alarcón Heredia, Juan Ignacio García-García, Sebastian Gutsche, Andrés Herrera-Poyatos, Max Horn, Helena Martin Cruz, Nicola Maugeri, Carlos Jesús Moreno Ávila, Ignacio Ojeda, Chris O’Neill, Alessio Sammartano, Alfredo Sánchez-R. Navarro, Klara Stokes, Strazzanti Francesco, Giuseppe Zito, Jorge Angulo Rodríguez.

Citing

Please, cite this package as

[DGM24] Delgado, M., Garcia-Sanchez, P. A. and Morais, J., NumericalSgps, A package for numerical semigroups, Version 1.4.0 (2024)
(GAP package), https://gap-packages.github.io/numericalsgps.

You can get more info by typing Cite("NumericalSgps"); in the gap prompt.

Feedback

For bug reports, feature requests and suggestions, please use the issue tracker.

Features

The features of this package include

defining numerical semigroups;
computing several properties of numerical semigroups, namely: multiplicity, Frobenius number, (minimal) system of generators, Apéry set, gaps, fundamental gaps, etc.;
perform several operations on numerical semigroups and ideals, namely: intersection, quotient by an integer, decompose into irreducible semigroups, add a special gap, …;
computing and testing membership to relevant families of numerical semigroups.

There is a manual in the sub-directory doc written using the GAP package gapdoc which describes the available functions in detail. The pdf, html versions of the manual are also available there.

Installation

This package consists only of GAP code, so for its installation please refer to the GAP manual.