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MAA Reviews
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How Groups Grow
Avinoam Mann
Table of Contents
Preface 1. Introduction 2. Some group theory 3. Groups of linear growth 4. The growth of nilpotent groups 5. The growth of soluble groups 6. Linear groups 7. Asymptotic cones 8. Groups of polynomial growth 9. Infinitely generated groups 10. Intermediate growth: Grigorchuk's first group 11. More groups of intermediate growth 12. Growth and amenability 13. Intermediate growth and residual finiteness 14. Explicit calculations 15. The generating function 16. The growth of free products 17. Conjugacy class growth Research problems References.
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