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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4475| Title: | SIGNATURAL APPLICATIONS OF THE FRICKE GROUP ΓF(N) |
| Authors: | Buyukkaragoz, Aziz Unluyol, Erdal Ordu Üniversitesi |
| Keywords: | NEC group, Fundamental domain, Fricke Group, Signature, Boundary components, Cusp, Link periods |
| Issue Date: | 2022 |
| Publisher: | HONAM MATHEMATICAL SOC-GWANGJU |
| Citation: | Büyükkaragöz, A., Ünlüyol, E. (2022). SIGNATURAL APPLICATIONS OF THE FRICKE GROUP ΓF(N). Honam Math. J., 44(2), 296-309. https://doi.org/10.5831/HMJ.2022.44.2.296 |
| Abstract: | In this paper, we establish the Fricke Group Gamma(F)(N) which is a new special group of Non-Euclidean Crystallograhic (NEC) group. We obtain this group whose congruence subgroup Gamma(0)(N) is expanded with Fricke reflection F(z) = 1/N (z) over bar. Then, we research and calculate the structure of signature and fundamental domain of this group. And then, we calculate the number of boundary components in the signature for this group. Finally, we find the 2, 3, infinity valued link periods of these boundary components with the H. Jaffee technique. |
| Description: | WoS Categories: Mathematics Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Mathematics |
| URI: | http://dx.doi.org/10.5831/HMJ.2022.44.2.296 https://www.webofscience.com/wos/woscc/full-record/WOS:000822821900012 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4475 |
| ISSN: | 1225-293X 2288-6176 |
| Appears in Collections: | Matematik |
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