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Algorithmic and geometric topics aro...

Aramayona, Javier.

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Algorithmic and geometric topics around free groups and automorphisms

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algorithmic and geometric topics around free groups and automorphisms/ by Javier Aramayona ... [et al.].
其他作者:	Aramayona, Javier.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	ix, 151 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Automorphisms. -
電子資源:	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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