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.
|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.) (234Kb)
|Full text:||(VoR) Version of Record|
Download PDF (234Kb)
|Publisher Web site:||http://pjm.berkeley.edu/pjm/2008/238-1/p08.xhtml|
|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|