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

Authors

DOI:

https://doi.org/10.26713/cma.v8i3.549

Keywords:

Extended modular group, Congruence subgroups, Suborbital graphs, Connectivity

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} $.

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Author Biographies

  • Pradthana Jaipong, Chiang Mai University
    Department of Mathematics
  • Wanchai Tapanyo, Chiang Mai University
    Department of Mathematics

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Published

30-12-2017

Issue

Vol. 8 No. 3 (2017)

Section

Research Article

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How to Cite

Jaipong, P., & Tapanyo, W. (2017). Connectivity of Suborbital Graphs for the Congruence Subgroups of the Extended Modular Group. Communications in Mathematics and Applications, 8(3), 345-358. https://doi.org/10.26713/cma.v8i3.549