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On the automorphism group of the asymptotic pants complex of a planar surface of infinite type

By Ariadna Fossas and Maxime Nguyen

Abstract

We consider a planar surface \Sigma of infinite type which has the Thompson group T as asymptotic mapping class group. We construct the asymptotic pants complex C of \Sigma and prove that the group T acts transitively by automorphisms on it. Finally, we establish that the automorphism group of the complex C is an extension of the Thompson group T by Z/2Z

Topics: Mathematics - General Topology, Mathematics - Geometric Topology
Year: 2011
OAI identifier: oai:arXiv.org:1104.2983
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