Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)

Pratoussevitch, Anna ORCID: 0000-0003-2248-6382 (2010) Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity). Bulletin of the LMS 43 (2011), 359-363, 43 (2). pp. 359-363.

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Abstract

In this note we prove that a complex hyperbolic triangle group of type (m,m,infinity), i.e. a group of isometries of the complex hyperbolic plane, generated by complex reflections in three complex geodesics meeting at angles Pi/m, Pi/m and 0, is not discrete if the product of the three generators is regular elliptic.

Item Type:	Article
Additional Information:	5 pages.
Uncontrolled Keywords:	math.DG, math.DG, Primary 51M10, Secondary 32M15, 53C55, 53C35
Depositing User:	Symplectic Admin
Date Deposited:	11 Apr 2016 13:41
Last Modified:	17 Dec 2022 01:32
DOI:	10.1112/blms/bdq107
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3000212