Öz
Bu çalışmada, modüler grubun özel bir kongrüans alt grubunun alt yörüngesel çizgeleri araştırıldı ve bu yönlendirilmiş çizgeler Poincare dairesinde çizildi
Anahtar Kelimeler
Devre İmprimitif hareket Yörünge Sabitleyen Altyörüngesel çizgeler
Kaynakça
- Akbaş, M. 2001. On suborbital graphs for the modular group. Bull. Lond. Math. Soc., 33: 647-652.
- Akbaş, M., Başkan, T. 1996. Suborbital graphs for the normalizer of C^ h. Turk. J. Math, 20: 379–387. 0N
- Beşenk, M. 2016. Connectedness of suborbital graphs for a special subgroup of the modular group. Math. Sci. Appl. E-Notes, 4: 45-54.
- Beşenk, M., Güler, BÖ., Köroğlu, T. 2016. Orbital graphs for the small residue class of PSL(2,5). Gen. Math. Notes., 37: 20-31.
- Biggs, NL., White, AT. 1979. Permutation groups and combinatorial structures. Cambridge University Press, Cambridge.
- Dixon, JD., Mortimer, B. 1996. Permutation groups. SpringerVerlag, New York. Güler, BÖ, Beşenk, M., Değer, A.H., Kader, S. 2011. Elliptic elements and circuits in suborbital graphs. Hacet. J. Math. Stat., 40: 203-210.
- Güler, BÖ., Köroğlu, T., Şanlı, Z. 2016. Solutions to some congruence equations via suborbital graphs. Springer Plus, 5: 1-11.
- Jones, GA., Singerman, D.1987. Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge.
- Jones, GA., Singerman, D., Wicks, K. 1991. The modular group and generalized Farey graphs. London. Math. Soc. Lecture Notes Ser., 160: 316-338.
- Kesicioğlu, Y., Akbaş, M., Beşenk, M. 2013. Connectedness of a Suborbital Graph For Congruence Subgroups. J. Inequal. Appl. 1: 117–124.
- Köroğlu, T., Güler, BÖ., Şanlı, Z. 2017. Suborbital graphs for Atkin-Lehner group. Turk. J. Math., 41: 235-243.
- Schoeneberg, B. 1974. Elliptic modular functions. Springer, Berlin.
- Sims, CC. 1967. Graphs and finite permutation groups. Math. Z., 95: 76-86
Öz
In this paper we investigate suborbital graphs of a special congruence subgroup of modular group. And this directed graphs is drawn in Poincare disk.
Anahtar Kelimeler
Suborbial graphs imprimitive action orbit stabilizer circuit.
Kaynakça
- Akbaş, M. 2001. On suborbital graphs for the modular group. Bull. Lond. Math. Soc., 33: 647-652.
- Akbaş, M., Başkan, T. 1996. Suborbital graphs for the normalizer of C^ h. Turk. J. Math, 20: 379–387. 0N
- Beşenk, M. 2016. Connectedness of suborbital graphs for a special subgroup of the modular group. Math. Sci. Appl. E-Notes, 4: 45-54.
- Beşenk, M., Güler, BÖ., Köroğlu, T. 2016. Orbital graphs for the small residue class of PSL(2,5). Gen. Math. Notes., 37: 20-31.
- Biggs, NL., White, AT. 1979. Permutation groups and combinatorial structures. Cambridge University Press, Cambridge.
- Dixon, JD., Mortimer, B. 1996. Permutation groups. SpringerVerlag, New York. Güler, BÖ, Beşenk, M., Değer, A.H., Kader, S. 2011. Elliptic elements and circuits in suborbital graphs. Hacet. J. Math. Stat., 40: 203-210.
- Güler, BÖ., Köroğlu, T., Şanlı, Z. 2016. Solutions to some congruence equations via suborbital graphs. Springer Plus, 5: 1-11.
- Jones, GA., Singerman, D.1987. Complex functions: an algebraic and geometric viewpoint, Cambridge University Press, Cambridge.
- Jones, GA., Singerman, D., Wicks, K. 1991. The modular group and generalized Farey graphs. London. Math. Soc. Lecture Notes Ser., 160: 316-338.
- Kesicioğlu, Y., Akbaş, M., Beşenk, M. 2013. Connectedness of a Suborbital Graph For Congruence Subgroups. J. Inequal. Appl. 1: 117–124.
- Köroğlu, T., Güler, BÖ., Şanlı, Z. 2017. Suborbital graphs for Atkin-Lehner group. Turk. J. Math., 41: 235-243.
- Schoeneberg, B. 1974. Elliptic modular functions. Springer, Berlin.
- Sims, CC. 1967. Graphs and finite permutation groups. Math. Z., 95: 76-86
Ayrıntılar
| Birincil Dil | Türkçe |
|---|---|
| Bölüm | Research Article |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Haziran 2018 |
| Yayımlandığı Sayı | Yıl 2018 Cilt: 8 Sayı: 2 |