Exercises in Cellular Automata and Groups
This book complements the authors' monograph Cellular Automata and Groups CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from CAG] is maintained. Each chapter begins with a summary of the maindefinitions and results contained in the corresponding chapter of CAG]. The book is suitable either for classroom or individual use.
Foreword by Rostislav I. Grigorchuk
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