A Note on Quaternionic Hyperbolic Ideal Triangle Groups
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Published:2016-06-01
Issue:2
Volume:59
Page:244-257
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Cao Wensheng,Huang Xiaolin
Abstract
AbstractIn this paper, the quaternionic hyperbolic ideal triangle groups are parametrized by a real one-parameter family {ϕ: s ∊ ℝ}. The indexing parameter s is the tangent of the quaternionic angular invariant of a triple of points in forming this ideal triangle. We show that if , then ϕs is not a discrete embedding, and if s , then ϕs is a discrete embedding.
Publisher
Canadian Mathematical Society
Subject
General Mathematics