Korean J. Math. Vol. 30 No. 2 (2022) pp.315-333
DOI: https://doi.org/10.11568/kjm.2022.30.2.315

C-Fuchsian subgroups of some non-arithmetic lattices

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Lijie Sun

Abstract

We give a general procedure to analyze the structure for certain $\mathbb{C}$-Fuchsian subgroups of some non-arithmetic lattices. We also show their presentations and describe their fundamental domains which lie in a complex geodesic, a set homeomorphic to the unit disk.



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