[TMJ] Manipulating Subgroups of the Modular Group

New THE MATHEMATICA JOURNAL article:


Manipulating Subgroups of the Modular Group

by DANIEL SCHULTZ


ABSTRACT: We describe efficient algorithms for working with subgroups of \text{PSL}_2 (\mathbb{Z}) . Operations discussed include join and meet, congruence testing, congruence closure, subgroup testing, cusp enumeration, supergroup lattice, generators and coset enumeration, and constructing a group from a list of generators.


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