We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

Unfaithful complex hyperbolic triangle groups, I : involutions.

Parker, John R. (2008) 'Unfaithful complex hyperbolic triangle groups, I : involutions.', Pacific journal of mathematics., 238 (1). pp. 145-169.


A complex hyperbolic triangle group is the group of complex hyperbolic isometries generated by complex involutions fixing three complex lines in complex hyperbolic space. Such a group is called equilateral if there is an isometry of order three that cyclically permutes the three complex lines. We consider equilateral triangle groups for which the product of each pair of involutions and the product of all three involutions are all nonloxodromic. We classify all such groups that are discrete.

Item Type:Article
Keywords:Complex hyperbolic geometry, Triangle group.
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
File format - PDF (Copyright agreement prohibits open access to the full-text.)
Full text:(VoR) Version of Record
Download PDF
Publisher Web site:
Date accepted:No date available
Date deposited:03 January 2014
Date of first online publication:November 2008
Date first made open access:No date available

Save or Share this output

Look up in GoogleScholar