Monaghan, Andrew, Parker, John R and Pratoussevitch, Anna ORCID: 0000-0003-2248-6382
Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type $[m_1,m_2,0]$.
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Abstract
In this paper we consider ultra-parallel complex hyperbolic triangle groups of type $[m_1,m_2,0]$, i.e. groups of isometries of the complex hyperbolic plane, generated by complex reflections in three ultra-parallel complex geodesics two of which intersect on the boundary. We prove some discreteness and non-discreteness results for these groups and discuss the connection between the discreteness results and ellipticity of certain group elements.
Item Type: | Article |
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Additional Information: | 23 pages, 4 figures |
Uncontrolled Keywords: | math.GT, math.GT, Primary 51M10, Secondary 32M15, 22E40, 53C55 |
Depositing User: | Symplectic Admin |
Date Deposited: | 16 Jul 2018 15:38 |
Last Modified: | 19 Jan 2023 01:30 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3023652 |
Available Versions of this Item
- Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type $[m_1,m_2,0]$. (deposited 16 Jul 2018 15:38) [Currently Displayed]