Jorgensen's inequality for quaternionic hyperbolic n-space

Details Jorgensen's inequality for quaternionic hyperbolic n-space Jorgensen's inequality for quaternionic hyperbolic n-space

2009-06-08

arxiv.org/abs/0906.1475v2

Mathematics

Algebraic Topology

12 pages

Scientific paper

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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