Volume 9, issue 4 (2005)

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Representations of polygons of finite groups

Michael Kapovich

Geometry & Topology 9 (2005) 1915–1951

arXiv: math.GR/0310001

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
Mathematical Subject Classification 2000
Primary: 20F69
Secondary: 20G05
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Publication
Received: 30 January 2004
Revised: 6 October 2005
Accepted: 30 August 2005
Published: 17 October 2005
Proposed: Benson Farb
Seconded: Martin Bridson, Walter Neumann
Authors
Michael Kapovich
Department of Mathematics
University of California
1 Shields Ave
Davis
California 95616
USA