Congruence

Congruence subgroups of SL(2,Integers)

Version 1.2.7
Released 2024-08-28

This project is maintained by Ann Dooms, Olexandr Konovalov, Helena Verrill

GAP Package Congruence

The Congruence package provides functions to construct several types of canonical congruence subgroups in SL_2(Z), and also intersections of a finite number of such subgroups. Furthermore, it implements the algorithm for generating Farey symbols for congruence subgroups and using them to produce a system of independent generators for these subgroups

The current version of this package is version 1.2.7, released on 2024-08-28. 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 >=4.8

The following other GAP packages are needed:

Authors

Ann Dooms, Eric Jespers, Olexandr Konovalov, Helena Verrill.

Citing

Please, cite this package as

[DJKV24] Dooms, A., Jespers, E., Konovalov, O. and Verrill, H., Congruence, Congruence subgroups of SL(2,Integers), Version 1.2.7 (2024)
(GAP package), https://gap-packages.github.io/congruence.

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

Feedback

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