Geodesic
Subgroups of infinite index in the modular group III
Glasgow mathematical journal, Tome 22 (1981) no. 2, pp. 119-131

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As in [4], a specification is a list (r, s, t1 h0, hmc (l), ..., c(ho)) such that(i) each of r, s, t1 h0, h∞ is a non-negative integer,(ii) for each i, c(i) is a positive integer,(iii) if h∞ = 0 then ho = ∞,(iv) if h∞ = 1 and t1 + h0 is finite then t1 is even,(v) r + s + t1 + h0 + h∞ = ∞. 
Stothers, W. W. Subgroups of infinite index in the modular group III. Glasgow mathematical journal, Tome 22 (1981) no. 2, pp. 119-131. doi: 10.1017/S0017089500004559
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[1] 1.Stothers, W. W., Subgroups of the modular group, Proc. Cambridge Philos. Soc. 75 (1974), 139–153. Google Scholar

[2] 2.Stothers, W. W., Impossible specifications for the modular group, Manuscripta Math. 13 (1974), 415–428. Google Scholar | DOI

[3] 3.Stothers, W. W., Subgroups of the (2, 3,7)-triangle group, Manuscripta Math. 20 (1977), 323–334. Google Scholar

[4] 4.Stothers, W. W., Subgroups of infinite index in the modular group, Glasgow Math. J. 19 (1978), 33–43. Google Scholar | DOI

[5] 5.Stothers, W. W., Diagrams associated with subgroups of Fuchsian groups, Glasgow Math. J. 20 (1979), 103–114. Google Scholar

[6] 6.Stothers, W. W., Subgroups of infinite index in the modular group II, Glasgow Math. J. 22 (1981), 101–118. Google Scholar | DOI

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