Groups and Topological Dynamics

Author:   Volodymyr Nekrashevych
Publisher:   American Mathematical Society
ISBN:  

9781470471200


Pages:   695
Publication Date:   30 October 2022
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Groups and Topological Dynamics


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Overview

This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using group theory to study symbolic dynamics, and other connections between group theory and dynamical systems. One of the main applications of this approach to group theory is the study of asymptotic properties of groups such as growth and amenability. The book presents recently developed techniques of studying groups of dynamical origin using the structure of their orbits and associated groupoids of germs, applications of the iterated monodromy groups to hyperbolic dynamical systems, topological full groups and their properties, amenable groups, groups of intermediate growth, and other topics. The book is suitable for graduate students and researchers interested in group theory, transformations defined by automata, topological and holomorphic dynamics, and theory of topological groupoids. Each chapter is supplemented by exercises of various levels of complexity.

Full Product Details

Author:   Volodymyr Nekrashevych
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.363kg
ISBN:  

9781470471200


ISBN 10:   1470471205
Pages:   695
Publication Date:   30 October 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Dynamical systems Group actions Groupoids Iterated monodromy groups Groups from groupoids Growth and amenability Bibliography Index

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Volodymyr Nekrashevych, Texas A&M University, College Station, TX.

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