Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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SIGNATURAL APPLICATIONS OF THE FRICKE GROUP ΓF (N)

  • Received : 2022.04.06
  • Accepted : 2022.05.11
  • Published : 2022.06.25
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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.

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References

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