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Item Details
Title: ALGORITHMIC AND GEOMETRIC TOPICS AROUND FREE GROUPS AND AUTOMORPHISMS
By: Volker Diekert, Pedro V. Silva, Armin Weiss
Format: Paperback

List price: £19.99


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ISBN 10: 3319609394
ISBN 13: 9783319609393
Publisher: BIRKHAUSER
Pub. date: 20 November, 2017
Edition: 1st ed. 2017
Series: Advanced Courses in Mathematics - CRM Barcelona
Synopsis: This volume presents the lecture notes from the authors' three summer courses offered during the program "Automorphisms of Free Groups: Geometry, Topology, and Dynamics," held at the Centre de Recerca Matematica (CRM) in Bellaterra, Spain. The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichmuller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.
Illustrations: Approx. 150 p.
Publication: Switzerland
Imprint: Birkhauser
Returns: Returnable
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