Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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Complex hyperbolic triangle groups with 2-fold symmetry

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Published Aug 13, 2017
DOI https://doi.org/10.15673/tmgc.v1i10.547

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Джон Р. Паркер
UNIVERSITY OF DURHAM
Лі-Джі Сан
TOKYO INSTITUTE OF TECHNOLOGY

Abstract

In this paper we will consider the 2-fold symmetric complex hy­perbolic triangle groups generated by three complex reflections through angle 2Π/p with p ≥ 2. We will mainly concentrate on the groups where some ele­ments are elliptic of finite order. Then we will classify all such groups which are candidates for being discrete. There are only 4 types.

Keywords:
complex hyperbolic triangle groups, discreteness

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How to Cite
Паркер, Д., & Сан, Л.-Д. (2017). Complex hyperbolic triangle groups with 2-fold symmetry. Proceedings of the International Geometry Center, 10(1). https://doi.org/10.15673/tmgc.v1i10.547
Issue
Vol 10 No 1 (2017)
Section
Papers

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