Description

Book Synopsis
Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its relationship with dynamical systems.

Table of Contents
Basic definitions and examples Algebraic theory Limit spaces Orbispaces Iterated monodromy groups Examples and applications Bibliography Index.

SelfSimilar Groups

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    A Hardback by Volodymyr Nekrashevych

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      Book details

      Publisher American Mathematical Society
      Published 8/30/2005 12:00:00 AM
      ISBN-13 9780821838310
      978-0821838310
      ISBN-10 0821838318

      Description

      Book Synopsis
      Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its relationship with dynamical systems.

      Table of Contents
      Basic definitions and examples Algebraic theory Limit spaces Orbispaces Iterated monodromy groups Examples and applications Bibliography Index.

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