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$\mathbb{C}$-Fuchsian subgroups of some non-arithmetic lattices

Li-Jie Sun
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2022.06|한국수학논문집 (Korean Journal of Mathematics)|제30권 제2호|pp. 315-333

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키워드

$C$-Fuchsian subgroupComplex hyperbolic triangle groupPoincar'e's polygon theorem.
주제분류수학

초록

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.

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.

참고문헌 (16)

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