Jorgensen's inequality for quternionic hyperbolic space with elliptic elements

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.

9 pages, to appear in Bull. Austral. Math. Soc