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 dev
Word Processing in Groups
โ Scribed by D. B. A. Epstein
- Publisher
- CRC Press
- Year
- 1992
- Tongue
- English
- Leaves
- 344
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Contents
Preface
Part I An Introduction to Automatic Groups
1 Finite State Automata, Regular Languages and Predicate Calculus
2 Automatic Groups
3 Quasigeodesics, Pseudoisometries and Combings
4 Abelian and Euclidean Groups
5 Finding the Automatic Structure: Theory
6 Finding the Automatic Structure: Practical Methods
7 Asynchronous Automatic Groups
8 Nilpotent Groups
Part II Topics in the Theory of Automatic Groups
9 Braid Groups
10 Higher-Dimensional Isoperimetric Inequalities
11 Geometrically Finite Groups
12 Three-Dimensional Manifolds
Bibliography
Index
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