scholarly journals Ideal Triangle Groups, Dented Tori, and Numerical Analysis

2001 ◽  
Vol 153 (3) ◽  
pp. 533 ◽  
Author(s):  
Richard Evan Schwartz
Keyword(s):  
Numerical Analysis ◽  
Triangle Groups ◽  
Ideal Triangle

A Note on Quaternionic Hyperbolic Ideal Triangle Groups

2016 ◽  
Vol 59 (2) ◽  
pp. 244-257
Author(s):  
Wensheng Cao ◽  
Xiaolin Huang
Keyword(s):  
Parameter Family ◽  
Triangle Groups ◽  
Ideal Triangle

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.

scholarly journals Degenerating the complex hyperbolic ideal triangle groups

2001 ◽  
Vol 186 (1) ◽  
pp. 105-154 ◽  
Author(s):  
Richard Evan Schwartz
Keyword(s):  
Triangle Groups ◽  
Ideal Triangle
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