Jorgensen's inequality for quaternionic hyperbolic n-space
Algebraic Topology
2010-01-23 v2 Algebraic Geometry
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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Cite
@article{arxiv.0906.1475,
title = {Jorgensen's inequality for quaternionic hyperbolic n-space},
author = {Wensheng Cao},
journal= {arXiv preprint arXiv:0906.1475},
year = {2010}
}
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12 pages