Algorithmic and geometric topics around free groups and automorphisms / Javier Aramayona, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, Armin Weiß ; edited by Juan González-Meneses, Martin Lustig, Enric Ventura.
"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,...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Other Authors: | , , |
| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Birkhäuser,
2017.
|
| Series: | Advanced courses in mathematics, CRM Barcelona,
|
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "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."--Publisher's website. |
|---|---|
| Physical Description: | 1 online resource (ix, 151 pages). |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 3319609394 9783319609393 3319609408 9783319609409 |
| ISSN: | 2297-0304 |