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arXiv · 0906.1888

Jorgensen's inequality for quternionic hyperbolic space with elliptic elements

Wensheng Cao·Haiou Tan
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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.

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Wensheng Cao, Haiou Tan. 2009-06-10. Jorgensen's inequality for quternionic hyperbolic space with elliptic elements. https://arxiv.org/abs/0906.1888

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