Hostname: page-component-848d4c4894-p2v8j Total loading time: 0 Render date: 2024-05-12T13:08:53.723Z Has data issue: false hasContentIssue false
  • English
  • Français

Subgroups of infinite index in the modular group III

Published online by Cambridge University Press:  18 May 2009

W. W. Stothers
W. W. Stothers
Affiliation:
University of Glasgow, Glasgow G12 8QW
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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∞ = ∞.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 22 , Issue 2 , July 1981 , pp. 119 - 131
Copyright
Copyright © Glasgow Mathematical Journal Trust 1981

References

REFERENCES

1.Stothers, W. W., Subgroups of the modular group, Proc. Cambridge Philos. Soc. 75 (1974), 139–153.Google Scholar
2.Stothers, W. W., Impossible specifications for the modular group, Manuscripta Math. 13 (1974), 415–428.CrossRefGoogle Scholar
3.Stothers, W. W., Subgroups of the (2, 3,7)-triangle group, Manuscripta Math. 20 (1977), 323–334.Google Scholar
4.Stothers, W. W., Subgroups of infinite index in the modular group, Glasgow Math. J. 19 (1978), 33–43.CrossRefGoogle Scholar
5.Stothers, W. W., Diagrams associated with subgroups of Fuchsian groups, Glasgow Math. J. 20 (1979), 103–114.Google Scholar
6.Stothers, W. W., Subgroups of infinite index in the modular group II, Glasgow Math. J. 22 (1981), 101–118.CrossRefGoogle Scholar