Article
The Signatures and Boundary Components of The Groups ˆ Γ0,n(N)
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Abstract
In this paper, we established the group Γˆ 0,n (N) by group Γ 0,n (N) extending with reflection. Then, we obtain boundary components in signature of the group and we get some calculation for link periods 2, 3, ∞. And then, we constitute chain of reflections with fixed points via Extended Hoore-Uzzell Theorem in the group. Finally, The number of boundary components in the signature of some groups Γˆ 0,p (p) and Γˆ 0,p (p2), p is a prime number, and the number of link periods was found.
Keywords
Signature, Boundary component, Extended Modular Group, NEC Group, Hoare-Uzzel Theorem.
Citation
Unluyol, E. & Buyukkaragoz, A. (2020). The signatures and boundary components of the groups ˆ Γ0,n(N). Turkish Journal of Science, 5(3), 268–279. https://doi.org/10.66833/TJOS-2020-0031
E. Unluyol and A. Buyukkaragoz, “The signatures and boundary components of the groups ˆ Γ0,n(N),” Turkish Journal of Science, vol. 5, no. 3, pp. 268–279, 2020, doi: 10.66833/TJOS-2020-0031.
Unluyol E, Buyukkaragoz A. The signatures and boundary components of the groups ˆ Γ0,n(N). Turkish Journal of Science. 2020;5(3):268–279. doi:10.66833/TJOS-2020-0031.
Unluyol, E. and Buyukkaragoz, A. (2020), ‘The signatures and boundary components of the groups ˆ Γ0,n(N)’, Turkish Journal of Science, 5(3), pp. 268–279. Available at: https://doi.org/10.66833/TJOS-2020-0031.
Unluyol, Erdal, and Aziz Buyukkaragoz. “The Signatures and Boundary Components of the Groups ˆ Γ0,n(N).” Turkish Journal of Science, vol. 5, no. 3, 2020, pp. 268–279. https://doi.org/10.66833/TJOS-2020-0031.
Unluyol, Erdal, and Aziz Buyukkaragoz. “The Signatures and Boundary Components of the Groups ˆ Γ0,n(N).” Turkish Journal of Science 5, no. 3 (2020): 268–279. https://doi.org/10.66833/TJOS-2020-0031.
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