Representations of polygons of finite groups

Kapovich, Michael

doi:10.2140/gt.2005.9.1915

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Representations of polygons of finite groups

Michael Kapovich

Geometry & Topology 9 (2005) 1915–1951

DOI: 10.2140/gt.2005.9.1915

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

Volume 9, issue 4 (2005)