Geometry & Topology, Vol. 9 (2005) Paper no. 43, pages 1915--1951.

Representations of polygons of finite groups

Michael Kapovich

Abstract. We construct discrete and faithful representations into the isometry group of a hyperbolic space of the fundamental groups of acute negatively curved even-sided polygons of finite groups.

Keywords. Hyperbolic groups, polygons of groups

AMS subject classification. Primary: 20F69. Secondary: 20G05.

E-print: arXiv:math.GR/0310001

DOI: 10.2140/gt.2005.9.1915

Submitted to GT on 30 January 2004. (Revised 6 October 2005.) Paper accepted 30 August 2005. Paper published 17 October 2005.

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Michael Kapovich
Department of Mathematics, University of California
1 Shields Ave, Davis, CA 95616, USA

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