Fuchsian Groups and Continued Fractions

Abstract

The suborbital graph is a directed graph arisen from the transitive group action. We investigate

suborbital graphs forming by the action of N_P(Gamma) which is the normalizer of modular group in the Picard group. We

give necessary and sufficient conditions for paired and self-paired graphs.

Keywords

• Normalizer of the modular group,suborbital graphs,continued fraction

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