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

Kamiya, Shigeyasu; Parker, John R.; Thompson, James M.

Abstract

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,∞;k).

Citation

Kamiya, S., Parker, J. R., & Thompson, J. M. (2012). Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k). Canadian Mathematical Bulletin, 55(2), 329-338. https://doi.org/10.4153/cmb-2011-094-8

• Journal Article Type: Article
• Publication Date: Jun 1, 2012
• Deposit Date: Apr 13, 2012
• Journal: Canadian Mathematical Bulletin
• Print ISSN: 0008-4395
• Electronic ISSN: 1496-4287
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 55
• Issue: 2
• Pages: 329-338
• DOI: https://doi.org/10.4153/cmb-2011-094-8
• Keywords: Complex hyperbolic triangle group.
• Public URL: https://durham-repository.worktribe.com/output/1477371