Algorithmic and Geometric Topics Around Free Groups and Automorphisms (Paperback, 1st ed. 2017)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Advanced Courses in Mathematics - CRM Barcelona
Release date:	December 2017
First published:	2017
Authors:	Javier Aramayona • Volker Diekert • Christopher J. Leininger • Pedro V. Silva • Armin Weis
Editors:	Juan Gonzalez-Meneses • Martin Lustig • Enric Ventura
Dimensions:	240 x 168 x 18mm (L x W x T)
Format:	Paperback
Pages:	149
Edition:	1st ed. 2017
ISBN-13:	978-3-319-60939-3
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-319-60939-4
Barcode:	9783319609393

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