Nekrashevych, Volodymyr,  1975- <br/><br/>
Groups and topological dynamics / 
Volodymyr Nekrashevych. 
 - xii, 693 pages :  illustrations  ;  26 cm. 
 - Graduate studies in mathematics,  223  1065-7339 ; .
 - Graduate studies in mathematics ;  v. 223. .
<br/><br/>Includes bibliographical references and index. 
<br/><br/>Dynamical systems -- Group actions -- Groupoids -- Iterated monodromy groups -- Groups from groupoids -- Growth and amenability. 
<br/><br/> 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. - Publisher 
<br/><br/><label>ISBN: </label>9781470471200 1470471205 9781470463809 1470463806 
<br/><br/><label>LCCN: </label>2022013594 
<br/><br/><label>Nat. Bib. No.: </label>GBC2G3098  bnb 
<br/><br/><label>Nat. Bib. Agency Control No.: </label>020745019  Uk 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Group theory.<br/>Groupoids.<br/>Topological dynamics.<br/>Finite groups.<br/>Infinite groups.
<br/><br/><label>Dewey Class. No.: </label>512.23  / N418g