Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory.
| ISBN: | 9781316606520 |
| Publication date: | 23rd February 2017 |
| Author: | Derek F Holt, Sarah Rees, Claas E Röver |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 306 pages |
| Series: | London Mathematical Society Student Texts |
| Genres: |
Groups and group theory Mathematical logic Algebra |
Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory.
Groups, Languages and Automata features in the following genres: Groups and group theory, Mathematical logic, Algebra
Groups, Languages and Automata is available in Paperback, Hardback
Groups, Languages and Automata was written by Derek F Holt, Sarah Rees, Claas E Röver and published by Cambridge University Press
Groups, Languages and Automata has 306 pages
Yes it is part of London Mathematical Society Student Texts series