ENGLISH

Groups, Languages and Automata

By Derek F. Holt , Sarah Rees , Claas E. Röver

Book information

Publisher
Cambridge University Press
Year
2017
ISBN
1107152356, 9781107152359
DOI
10.1017/9781316588246
Google Books ID
utkcDgAAQBAJ
Language
english
Format
PDF
Filesize
2 MB (1686078 bytes)
Series
London Mathematical Society Student Texts 88
Pages
306\307
Topic
Mathematics Algebra
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2017-07-10 10:55:13
Algebra;Abstract;Elementary;Intermediate;Linear;PuUsed & Rental Textbooks;Specialty Boutique

Description

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.

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