Complex Hyperbolic Triangle Groups with 2-fold Symmetry

Parker, John R.; Sun, Lijie

doi:10.15673/tmgc.v1i10.547

Complex Hyperbolic Triangle Groups with 2-fold Symmetry

Parker, John R.; Sun, Lijie

Authors

Professor John Parker j.r.parker@durham.ac.uk
Professor

Lijie Sun

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.

Citation

Parker, J. R., & Sun, L. (2017). Complex Hyperbolic Triangle Groups with 2-fold Symmetry. Proceedings of the International Geometry Center, 10(1), 1-21. https://doi.org/10.15673/tmgc.v1i10.547

Journal Article Type	Article
Acceptance Date	Jun 29, 2017
Online Publication Date	Aug 13, 2017
Publication Date	Jul 1, 2017
Deposit Date	Jul 17, 2017
Publicly Available Date	Jul 17, 2017
Journal	Proceedings of the International Geometry Center
Print ISSN	2072-9812
Electronic ISSN	2409-8906
Publisher	Odesa National University of Technology
Peer Reviewed	Peer Reviewed
Volume	10
Issue	1
Pages	1-21
DOI	https://doi.org/10.15673/tmgc.v1i10.547
Related Public URLs	https://arxiv.org/abs/1702.04888