On Conjugacy Classes of Congruence Subgroups of PSL(2, R)
2009 ◽
Vol 12
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pp. 264-274
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Keyword(s):
AbstractLet G be a subgroup of PSL(2, R) which is commensurable with PSL(2, Z). We say that G is a congruence subgroup of PSL(2, R) if G contains a principal congruence subgroup /overline Γ(N) for some N. An algorithm is given for determining whether two congruence subgroups are conjugate in PSL(2, R). This algorithm is used to determine the PSL(2, R) conjugacy classes of congruence subgroups of genus-zero and genus-one. The results are given in a table.
1987 ◽
Vol 101
(3)
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pp. 421-429
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2010 ◽
Vol 13
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pp. 222-245
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2012 ◽
Vol 22
(03)
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pp. 1250026
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1999 ◽
Vol 51
(2)
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pp. 266-293
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2014 ◽
Vol 151
(4)
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pp. 603-664
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