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＜電子ブック＞
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
(Advanced Courses in Mathematics - CRM Barcelona. ISSN:22970312)

版	1st ed. 2017.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2017
大きさ	IX, 149 p. 27 illus : online resource
著者標目	*Aramayona, Javier author Diekert, Volker author Leininger, Christopher J author Silva, Pedro V author Weiß, Armin author González-Meneses, Juan editor Lustig, Martin editor Ventura, Enric editor SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Computer science—Mathematics FREE:Group Theory and Generalizations FREE:Mathematical Applications in Computer Science
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-60940-9

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