Happy Holidays! Over 120,000 eBooks at just 19.99 each— Pick a favorite today

Advanced Courses in Mathematics - CRM Barcelona

Algorithmic and Geometric Topics Around Free Groups and Automorphisms

Authors: Aramayona, J., Diekert, V., Leininger, C.J., Silva, P.V., Weiß, A.

Editors: González-Meneses, Juan, Lustig, Martin, Ventura, Enric (Eds.)

  • Features a comprehensive introduction to the connections between formal language theory and group theoryIncludes Thurston's compactification of Teichmüller space following the point of view of geodesic currents on surfaces
  • Presents specialized research topics in a friendlier way than in a research article
Show all benefits

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-3-319-60940-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA
  • ISBN 978-3-319-60939-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Javier Aramayona is a Professor at the Departamento de Matemáticas of the Universidad Autónoma de Madrid, Spain.

Volker Diekert is the Head of the Theoretical Computer Science Group at the University of Stuttgart, Germany.

Christopher J. Leininger is a Professor of Mathematics at the University of Illinois at Urbana-Champaign, USA.

Pedro V. Silva is a full Professor of the Department of Mathematics of the University of Porto, Portugal.

Armin Weiβ is a Research Assistant in the Theoretical Computer Science Group at the University of Stuttgart, Germany.

Table of contents (3 chapters)

  • An Automata-Theoretic Approach to the Study of Fixed Points of Endomorphisms

    Silva, Pedro

    Pages 1-42

  • Context-Free Groups and Bass–Serre Theory

    Diekert, Volker (et al.)

    Pages 43-110

  • Hyperbolic Structures on Surfaces and Geodesic Currents

    Aramayona, Javier (et al.)

    Pages 111-149

Buy this book

eBook $24.99
price for USA (gross)
  • ISBN 978-3-319-60940-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA
  • ISBN 978-3-319-60939-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Algorithmic and Geometric Topics Around Free Groups and Automorphisms
Authors
Editors
  • Juan González-Meneses
  • Martin Lustig
  • Enric Ventura
Series Title
Advanced Courses in Mathematics - CRM Barcelona
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-60940-9
DOI
10.1007/978-3-319-60940-9
Softcover ISBN
978-3-319-60939-3
Series ISSN
2297-0304
Edition Number
1
Number of Pages
IX, 151
Number of Illustrations and Tables
27 b/w illustrations
Topics