Algorithmic and Geometric Topics Around Free Groups and Automorphisms 2017 Edition Contributor(s): Aramayona, Javier (Author), Diekert, Volker (Author), Leininger, Christopher J. (Author) |
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ISBN: 3319609394 ISBN-13: 9783319609393 Publisher: Birkhauser OUR PRICE: $33.24 Product Type: Paperback Published: December 2017 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Applied - Computers | Machine Theory |
Dewey: 004.015 |
Series: Advanced Courses in Mathematics - Crm Barcelona |
Physical Information: 0.35" H x 6.69" W x 9.61" (0.59 lbs) 149 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 Matem tica (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 Teichm ller 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. |