TY  - GEN
N2  - 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 Matemtica (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 Bonahons construction of Thurstons compactification of Teichmller 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.
DO  - 10.1007/978-3-319-60940-9
DO  - doi
AB  - 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 Matemtica (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 Bonahons construction of Thurstons compactification of Teichmller 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.
T1  - Algorithmic and geometric topics around free groups and automorphisms /
AU  - Aramayona, Javier,
AU  - Diekert, Volker,
AU  - Leininger, Christopher J.,
AU  - Silva, Pedro V.,
AU  - Weiss, Armin,
AU  - González-Meneses, Juan,
AU  - Lustig, Martin,
AU  - Ventura, Enric,
CN  - SpringerLink
CN  - QA174.2
ID  - 805915
KW  - Automorphisms.
KW  - Free groups.
KW  - Computer science
SN  - 9783319609409
SN  - 3319609408
TI  - Algorithmic and geometric topics around free groups and automorphisms /
LK  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-60940-9
UR  - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-60940-9
ER  -