Congruence Subgroups of ${\rm PSL}(2,\Z)$ of Genus Less than or Equal to 24

Cummins, C. J.; Pauli, S.

Experiment. Math., Tome 12 (2003) no. 1, p. 243-255 / Harvested from Project Euclid

Résumé

In this paper, we report the computation and tabulation, using MAGMA, of all congruence subgroups of {$PSL(2,\Z)$} of genus less than or equal to 24. We include full tables of the congruence groups of genus 0, 1, 2, and 3 and a summary of the remaining cases.

Publié le : 2003-05-14
Classification: MAGMA, congruence subgroups, modular group, 11F03, 11F22, 30F35

@article{1067634734,
     author = {Cummins, C. J. and Pauli, S.},
     title = {Congruence Subgroups of ${\rm PSL}(2,\Z)$ of Genus Less than or Equal to 24},
     journal = {Experiment. Math.},
     volume = {12},
     number = {1},
     year = {2003},
     pages = { 243-255},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1067634734}
}

Cummins, C. J.; Pauli, S. Congruence Subgroups of ${\rm PSL}(2,\Z)$ of Genus Less than or Equal to 24. Experiment. Math., Tome 12 (2003) no. 1, pp.  243-255. http://gdmltest.u-ga.fr/item/1067634734/