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This study in combinatorial group theory introduces the concept of automatic groups. It contains a succinct introduction to the theory of regular languages, a discussion of related topics in combinatorial group theory, and the connections between automatic groups and geometry which motivated the development of this new theory. It is of interest to mathematicians and computer scientists, and includes open problems that will dominate the research for years to come.
Written and revised by D. B. A. Epstein.
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Amir Tsarfati, Rick Yohn
Paperback
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