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Algorithmic and Geometric Topics Around Free Groups and Automorphisms

Algorithmic and Geometric Topics Around Free Groups and Automorphisms
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Field name Details
Dewey Class 512.2
Title Algorithmic and Geometric Topics Around Free Groups and Automorphisms ([EBook]) / by Javier Aramayona, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, Armin Weiß ; edited by Juan González-Meneses, Martin Lustig, Enric Ventura.
Author Aramayona, Javier
Added Personal Name Diekert, Volker author.
Leininger, Christopher J. author.
Silva, Pedro V. author.
Weiß, Armin author.
González-Meneses, Juan editor.
Lustig, Martin editor.
Ventura, Enric editor.
Other name(s) SpringerLink (Online service)
Publication Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2017.
Physical Details IX, 151 p. 27 illus. : online resource.
Series Advanced courses in mathematics, CRM Barcelona 2297-0304
ISBN 9783319609409
Summary Note 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 Matemàtica (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 Teichmüller 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.:
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-60940-9
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