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Year 2018, Volume: 10, 165 - 168, 29.12.2018

Abstract

References

  • Bigg NL, White AT Permutation groups and combinatorial structures. London Mathematical Society Lecture Note Series, 33, CUP, Cambridge,1979.
  • Jones GA, Singerman D, Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge, 1987.
  • Jones GA, Singerman D,Wicks K, The modular group and generalized Farey graphs. London Math. Soc. Lecture Note Series 160(1991):316–338.
  • Kushwaha, S.; Sarma, R.; Continued fractions arising from F1;3. Ramanujan J. 46 (2018), no. 3, 605–631.
  • Nathanson, M.B., A forest of linear fractional transformations. Int. J. Number Theory 11 (2015), no. 4, 1275–1299.
  • Sarma R., Kushwaha S, Krishnan R, Continued fractions arising from F1;2. J. Number Theory 154(2015): 179–200.
  • Sims C.C., Graphs and finite permutation groups, Math. Z., 95, (1967), 76-86.
  • Olds C.D., Continued Fractions. New Mathematical Library. The Mathematical Association of America, Washington, 1963.
  • Yazıcı Gözütok, N., Güler, B.Ö., Suborbital Graphs of the Normalizer of Modular Group in the Picard Group, Iran J Sci Technol Trans Sci(2017).

Fuchsian Groups and Continued Fractions

Year 2018, Volume: 10, 165 - 168, 29.12.2018

Abstract

The suborbital graph is a directed graph arisen from the transitive group action. We investigate
suborbital graphs forming by the action of N_P(Gamma) which is the normalizer of modular group in the Picard group. We
give necessary and sufficient conditions for paired and self-paired graphs.

References

  • Bigg NL, White AT Permutation groups and combinatorial structures. London Mathematical Society Lecture Note Series, 33, CUP, Cambridge,1979.
  • Jones GA, Singerman D, Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge, 1987.
  • Jones GA, Singerman D,Wicks K, The modular group and generalized Farey graphs. London Math. Soc. Lecture Note Series 160(1991):316–338.
  • Kushwaha, S.; Sarma, R.; Continued fractions arising from F1;3. Ramanujan J. 46 (2018), no. 3, 605–631.
  • Nathanson, M.B., A forest of linear fractional transformations. Int. J. Number Theory 11 (2015), no. 4, 1275–1299.
  • Sarma R., Kushwaha S, Krishnan R, Continued fractions arising from F1;2. J. Number Theory 154(2015): 179–200.
  • Sims C.C., Graphs and finite permutation groups, Math. Z., 95, (1967), 76-86.
  • Olds C.D., Continued Fractions. New Mathematical Library. The Mathematical Association of America, Washington, 1963.
  • Yazıcı Gözütok, N., Güler, B.Ö., Suborbital Graphs of the Normalizer of Modular Group in the Picard Group, Iran J Sci Technol Trans Sci(2017).
There are 9 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Nazlı Yazıcı Gözütok

İlgıt Zengin This is me

Bahadır Özgür Güler This is me

Publication Date December 29, 2018
Published in Issue Year 2018 Volume: 10

Cite

APA Yazıcı Gözütok, N., Zengin, İ., & Güler, B. Ö. (2018). Fuchsian Groups and Continued Fractions. Turkish Journal of Mathematics and Computer Science, 10, 165-168.
AMA Yazıcı Gözütok N, Zengin İ, Güler BÖ. Fuchsian Groups and Continued Fractions. TJMCS. December 2018;10:165-168.
Chicago Yazıcı Gözütok, Nazlı, İlgıt Zengin, and Bahadır Özgür Güler. “Fuchsian Groups and Continued Fractions”. Turkish Journal of Mathematics and Computer Science 10, December (December 2018): 165-68.
EndNote Yazıcı Gözütok N, Zengin İ, Güler BÖ (December 1, 2018) Fuchsian Groups and Continued Fractions. Turkish Journal of Mathematics and Computer Science 10 165–168.
IEEE N. Yazıcı Gözütok, İ. Zengin, and B. Ö. Güler, “Fuchsian Groups and Continued Fractions”, TJMCS, vol. 10, pp. 165–168, 2018.
ISNAD Yazıcı Gözütok, Nazlı et al. “Fuchsian Groups and Continued Fractions”. Turkish Journal of Mathematics and Computer Science 10 (December 2018), 165-168.
JAMA Yazıcı Gözütok N, Zengin İ, Güler BÖ. Fuchsian Groups and Continued Fractions. TJMCS. 2018;10:165–168.
MLA Yazıcı Gözütok, Nazlı et al. “Fuchsian Groups and Continued Fractions”. Turkish Journal of Mathematics and Computer Science, vol. 10, 2018, pp. 165-8.
Vancouver Yazıcı Gözütok N, Zengin İ, Güler BÖ. Fuchsian Groups and Continued Fractions. TJMCS. 2018;10:165-8.