Jorgensen's inequality for quternionic hyperbolic space with elliptic elements
Algebraic Geometry
2009-06-11 v1 Symplectic Geometry
Abstract
In this paper, we give an analogue of Jorgensen's inequality for non-elementary groups of isometries of quaternionic hyperbolic space generated by two elements, one of which is elliptic. As an application, we obtain an analogue of Jorgensen's inequality in 2-dimensional Mobius group of the above case.
Keywords
Cite
@article{arxiv.0906.1888,
title = {Jorgensen's inequality for quternionic hyperbolic space with elliptic elements},
author = {Wensheng Cao and Haiou Tan},
journal= {arXiv preprint arXiv:0906.1888},
year = {2009}
}
Comments
9 pages, to appear in Bull. Austral. Math. Soc