Connectivity of Suborbital Graphs for the Congruence Subgroups of the Extended Modular Group

Pradthana Jaipong, Wanchai Tapanyo

Abstract


Let $ \widehat{\Gamma} $ be the extended modular group acting on $ \widehat{\mathbb{Q}} $ by linear fractional transformation. In this paper, we investigate connectivity of the suborbital graphs $ \widehat{\mathcal{F}}_{u,n} $ for the congruence subgroup $ \widehat{\Gamma}_0(n) $ of $ \widehat{\Gamma} $.

Keywords


Extended modular group; Congruence subgroups; Suborbital graphs; Connectivity

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eISSN 0975-8607; pISSN 0976-5905