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arXiv · 0906.1475

Jorgensen's inequality for quaternionic hyperbolic n-space

Wensheng Cao
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Abstract

Jorgensen's inequality gives a necessary condition for a non-elementary two generator group of isometries of real hyperbolic 2-space to be discrete. We give analogues of Jorgensen's inequality for non-elementary groups of isometries of quaternionic hyperbolic n-space generated by two elements, one of which is loxodromic.

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Wensheng Cao. 2010-01-23. Jorgensen's inequality for quaternionic hyperbolic n-space. https://arxiv.org/abs/0906.1475

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