Complex Hyperbolic Triangle Groups with 2-fold Symmetry

Parker, John R.; Sun, Lijie

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
• Public URL: https://durham-repository.worktribe.com/output/1354983
• Related Public URLs: https://arxiv.org/abs/1702.04888