Jorgensen's inequality for quternionic hyperbolic space with elliptic elements

Details Jorgensen's inequality for quternionic hyperbolic space with elliptic elements Jorgensen's inequality for quternionic hyperbolic space with elliptic elements

2009-06-10

arxiv.org/abs/0906.1888v1

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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