Algorithmic and Geometric Topics Around Free Groups and Automorphisms

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 f...

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Κύριοι συγγραφείς: Aramayona, Javier (Συγγραφέας), Diekert, Volker (Συγγραφέας), Leininger, Christopher J. (Συγγραφέας), Silva, Pedro V. (Συγγραφέας), Weiß, Armin (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: González-Meneses, Juan (Επιμελητής έκδοσης), Lustig, Martin (Επιμελητής έκδοσης), Ventura, Enric (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
Σειρά:Advanced Courses in Mathematics - CRM Barcelona,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Aramayona, Javier.  |e author. 
245 1 0 |a Algorithmic and Geometric Topics Around Free Groups and Automorphisms  |h [electronic resource] /  |c 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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520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Group theory. 
650 0 |a Computer science  |x Mathematics. 
650 0 |a Computer mathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Mathematical Applications in Computer Science. 
700 1 |a Diekert, Volker.  |e author. 
700 1 |a Leininger, Christopher J.  |e author. 
700 1 |a Silva, Pedro V.  |e author. 
700 1 |a Weiß, Armin.  |e author. 
700 1 |a González-Meneses, Juan.  |e editor. 
700 1 |a Lustig, Martin.  |e editor. 
700 1 |a Ventura, Enric.  |e editor. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783319609393 
830 0 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0304 
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