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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Cilt: 9 - Sayı: 9

Trees of The Normalizer of the Modular Group in The Picard Group

NAZLI YAZICI GÖZÜTOK
Ilgıt ZENGİN
Bahadır Özgür GÜLER
Sayfa
63–70
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also include some results of the suborbital graph F¯u,N related to a continued fraction representation of a rational number.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate trees arising from the imprimitive action of the normalizer of Modulargroup in the Picard group on extended rational numbers.
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Temel Bulgular & Veri:We determine the farthest vertex from a given vertexin hyperbolic paths of minimal lengths.
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Sonuç & Katkı:We also include some results of the suborbital graph F¯u,N related to a continued fraction representation of a rational number.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

In this study, we investigate trees arising from the imprimitive action of the normalizer of Modulargroup in the Picard group on extended rational numbers. We determine the farthest vertex from a given vertexin hyperbolic paths of minimal lengths. We also include some results of the suborbital graph F¯u,N related to a continued fraction representation of a rational number.

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Bu Makaleye Atıf Yap

GÖZÜTOK, N. Y., ZENGİN, I., GÜLER, B. Ö. (2018). Trees of The Normalizer of the Modular Group in The Picard Group. Turkish Journal of Mathematics and Computer Science, Cilt: 9 - Sayı: 9, 63–70. https://ajindex.com/articles/374715

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Kaynakça (21)

  1. Akbaş, M., On Suborbital Graphs for the Modular Group, Bulletin of the London Mathematical Society 33(6)(2001), 647–652
  2. Akbaş, M., Başkan, T., Suborbital graphs for the normalizer of Γ0(N), Turk J Math, 20(1996), 379–387
  3. Beşenk, M., The action of S L(2,C) on hyperbolic 3-space and orbital graphs, Graphs Combin., 34(4)(2018), 545–554
  4. Bigg, N.L., White, A.T., Permutation groups and combinatorial structures, London Mathematical Society Lecture Note Series, 33, CUP, Cambridge, 1979
  5. Chaichana K, Jaipong P, Suborbital Graphs for Congruence Subgroups of the Extended Modular Group and Continued Fractions, Proceedings of AMM, 20(2015), 86–95
  6. Cuyt A. et al., Handbook of Continued Fractions for Special Functions, Springer, New York, 2008
  7. Deger AH, Beşenk M, Güler BO, ön suborbital graphs and related continued fractions, Appl. Math. Comput., 218(3)(2011), 746–750
  8. Deger AH, Vertices of paths of minimal lengths on suborbital graphs, Filomat, 31(4)(2017), 913–923
  9. Jones GA, Singerman D, Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge, 1987
  10. Jones GA, Singerman D, Wicks K, The modular group and generalized Farey graphs. London Math. Soc. Lecture Note Series 160(1991), 316–338
  11. Güler, B. O. et al., Elliptic elements and circuits in suborbital graphs, Hacet. J. Math. Stat., 40(2)(2011), 203–210
  12. Güler, B. O., Kör, T., Şanlı, Z.: Solution to some congruence equations via suborbital graphs. Springerplus, 2016(5)(2016), 1-11
  13. Kader, S., Circuits in suborbital graphs for the normalizer. Graphs Combin. 33(6)(2017), 1531–1542
  14. Keskin, R., Suborbital graphs for the normalizer Γ0(m). European Journal of Combinatorics 27(2)(2006), 193–206
  15. Keskin, R., Demirturk, B., on suborbital graphs for the normalizer of Γ0(N). The Electronic Journal of Combinatorics 16(1)(2009), 1–18
  16. Köroglu, T., Güler, B. Ö., Şanlı, Z., Suborbital graphs for the Atkin-Lehner group. Turk J Math. 41(2017), 235–243
  17. Köroglu, T., Güler, B. ö., Şanlı, Z., Some Generalized Suborbital Graphs. Turk. J. Math. Comput. Sci., 7(2017), 90–95
  18. Kushwaha, S.; Sarma, R.; Continued fractions arising from F1,3. Ramanujan J. 46(3)(2018), 605–631
  19. Nathanson, M.B., A forest of linear fractional transformations. Int. J. Number Theory 11(4)(2015), 1275–1299
  20. Ponton, L., Two trees enumerating the positive rationals. Integers 18A(2018), Paper No. A17, 16 pp
  21. Sarma R, Kushwaha S, Krishnan