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http://dx.doi.org/10.5831/HMJ.2022.44.2.296

SIGNATURAL APPLICATIONS OF THE FRICKE GROUP ΓF (N)  

Buyukkaragoz, Aziz (Department of Mathematics, Ordu University)
Unluyol, Erdal (Department of Mathematics, Ordu University)
Publication Information
Honam Mathematical Journal / v.44, no.2, 2022 , pp. 296-309 More about this Journal
Abstract
In this paper, we establish the Fricke Group ΓF (N) which is a new special group of Non-Euclidean Crystallograhic (NEC) group. We obtain this group whose congruence subgroup Γ0(N) is expanded with Fricke reflection $F(z)={\frac{1}{N{\bar{z}}}}$. 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, ∞ valued link periods of these boundary components with the H. Jaffee technique.
Keywords
NEC group; Fundamental domain; Fricke Group; Signature; Boundary components; Cusp; Link periods;
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