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Complex hyperbolic triangle groups with 2-fold symmetry.

Parker, John R. and Sun, Lijie (2017) 'Complex hyperbolic triangle groups with 2-fold symmetry.', Proceedings of the International Geometry Center., 10 (1). pp. 1-21.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://dx.doi.org/10.15673/tmgc.v1i10.547
Publisher statement:This article has been published under a Creative Commons CC-BY licence.
Date accepted:29 June 2017
Date deposited:17 July 2017
Date of first online publication:13 August 2017
Date first made open access:No date available

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