Groups and topological dynamics
著者
書誌事項
Groups and topological dynamics
（Graduate studies in mathematics, 223）
American Mathematical Society, c2022
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注記
Includes bibliographical references (p. 673-688) and index
内容説明・目次
内容説明
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.
目次
Dynamical systems
Group actions
Groupoids
Iterated monodromy groups
Groups from groupoids
Growth and amenability
Bibliography
Index
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