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Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k)

Published online by Cambridge University Press:  20 November 2018

Shigeyasu Kamiya ,
John R. Parker  and
James M. Thompson
Shigeyasu Kamiya
Affiliation:
Okayama University of Science, 1-1 Ridai-cho, Okayama 700-0005, Japane-mail: s.kamiya@are.ous.ac.jp
John R. Parker
Affiliation:
University of Durham, South Road, Durham DH1 3LE UKe-mail: j.r.parker@dur.ac.uk; j.m.thompson@dur.ac.uk
James M. Thompson
Affiliation:
University of Durham, South Road, Durham DH1 3LE UKe-mail: j.r.parker@dur.ac.uk; j.m.thompson@dur.ac.uk
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Abstract

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A complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type $(n,\,n,\,\infty ;\,k)$.

Keywords

51M1032M1553C5553C35complex hyperbolic triangle group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 2 , 01 June 2012 , pp. 329 - 338
Copyright
Copyright © Canadian Mathematical Society 2012

References

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