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Algorithmic and geometric topics aro...

Aramayona, Javier.

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Algorithmic and geometric topics around free groups and automorphisms

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algorithmic and geometric topics around free groups and automorphisms/ by Javier Aramayona ... [et al.].
other author:	Aramayona, Javier.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	ix, 151 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Automorphisms. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-60940-9
ISBN:	9783319609409

Algorithmic and geometric topics around free groups and automorphisms
Algorithmic and geometric topics around free groups and automorphisms[electronic resource] /by Javier Aramayona ... [et al.]. - Cham :Springer International Publishing :2017. - ix, 151 p. :ill., digital ;24 cm. - Advanced courses in mathematics - CRM Barcelona,2297-0304. - Advanced courses in mathematics - CRM Barcelona..

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.

ISBN: 9783319609409

Standard No.: 10.1007/978-3-319-60940-9doiSubjects--Topical Terms:

567303
Automorphisms.

LC Class. No.: QA174.2

Dewey Class. No.: 512.2

Algorithmic and geometric topics around free groups and automorphisms
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245 0 0 $a Algorithmic and geometric topics around free groups and automorphisms $h [electronic resource] / $c by Javier Aramayona ... [et al.].
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2017.
300 $a ix, 151 p. : $b ill., digital ; $c 24 cm.
490 1 $a Advanced courses in mathematics - CRM Barcelona, $x 2297-0304
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 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.
650 0 $a Automorphisms. $3 567303
650 0 $a Free groups. $3 706613
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Mathematical Applications in Computer Science. $3 1567978
700 1 $a Aramayona, Javier. $3 3270341
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Advanced courses in mathematics - CRM Barcelona. $3 1542351
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-60940-9
950 $a Mathematics and Statistics (Springer-11649)