A strong Schottky Lemma for nonpositively curved singular spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we give a criterion for pairs of isometries of a nonpositively curved metric space to generate a free group. This criterion holds only in singular spaces, for example in Euclidean buildings. The original motivation for our criterion was to prove that the four dimensional Burau representation is faithful. Although we do not settle this question, we do exhibit a related 2-parameter family of faithful representations of the free group F_2.

Keywords

Group Theory, Geometric Topology, 20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60723

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101074
 http://arxiv.org/abs/math/0101074

Collections

arXiv