Geodesic
COMPUTING WITH SUBGROUPS OF THE MODULAR GROUP
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 173-180

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DOI

We give several algorithms for finitely generated subgroups of the modular group PSL2(Z) given by sets of generators. First, we present an algorithm to check whether a finitely generated subgroup H has finite index in the full modular group. Then we discuss how to parametrise the right cosets of H in PSL2(Z), whether the index is finite or not. Further, we explain how an element in H can be written as a word in a given set of generators of H.
DOI : 10.1017/S0017089514000202
Mots-clés : 20-04, 20H05 
KIRSCHMER, MARKUS; LEEDHAM-GREEN, CHARLES. COMPUTING WITH SUBGROUPS OF THE MODULAR GROUP. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 173-180. doi: 10.1017/S0017089514000202
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     title = {COMPUTING {WITH} {SUBGROUPS} {OF} {THE} {MODULAR} {GROUP}},
     journal = {Glasgow mathematical journal},
     pages = {173--180},
     year = {2015},
     volume = {57},
     number = {1},
     doi = {10.1017/S0017089514000202},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089514000202/}
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