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Algorithmic and Geometric Topics Around Free Groups and Automorphisms / / by Javier Aramayona, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, Armin Weiß ; edited by Juan González-Meneses, Martin Lustig, Enric Ventura



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Autore: Aramayona Javier Visualizza persona
Titolo: Algorithmic and Geometric Topics Around Free Groups and Automorphisms / / by Javier Aramayona, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, Armin Weiß ; edited by Juan González-Meneses, Martin Lustig, Enric Ventura Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2017
Edizione: 1st ed. 2017.
Descrizione fisica: 1 online resource (IX, 151 p. 27 illus.)
Disciplina: 512.2
Soggetto topico: Group theory
Computer science—Mathematics
Computer mathematics
Group Theory and Generalizations
Mathematical Applications in Computer Science
Persona (resp. second.): DiekertVolker
LeiningerChristopher J
SilvaPedro V
WeißArmin
González-MenesesJuan
LustigMartin
VenturaEnric
Nota di bibliografia: Includes bibliographical references.
Sommario/riassunto: 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.
Titolo autorizzato: Algorithmic and Geometric Topics Around Free Groups and Automorphisms  Visualizza cluster
ISBN: 3-319-60940-8
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910254298503321
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Serie: Advanced Courses in Mathematics - CRM Barcelona, . 2297-0304