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A Strong Schottky Lemma for Nonpositively Curved Singular Spaces
Authors:Roger C Alperin  Benson Farb  Guennadi A Noskov
Institution:(1) Department of Mathematics and Computer Science, San Jose State University, 1 Washington Square, San Jose, CA, 95192, U.S.A.;(2) Department of Mathematics, University of Chicago, 5734 University Ave., Chicago, IL, 60637, U.S.A.;(3) Institute of Mathematics, Russian Academy of Sciences, Pevtsova 13, Omsk, 644099, Russia
Abstract:Motivated by the question of faithfulness of the four-dimensional Burau representation, we study a generalization of the Schottky Lemma which is useful for studying actions on affine buildings.
Keywords:building  CAT(0)  Burau representation
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