Groups and topological dynamics /
Volodymyr Nekrashevych
- Providence American Mathematical Society 2022
- xii, 693 pages : illustrations ; 26 cm.
- Graduate studies in mathematics 223 .
TB3166/09 $ 85.00
9781470471200 (pbk.)
Group theory. Groupoids. Topological dynamics. Finite groups. Infinite groups. Group theory and generalizations -- Special aspects of infinite or finite groups -- Asymptotic properties of groups. Group theory and generalizations -- Groupoids (i.e. small categories in which all morphisms are isomorphisms) -- Groupoids (i.e. small categories in which all morphisms are isomorphisms). Dynamical systems and ergodic theory -- Topological dynamics -- Transformations and group actions with special properties (minimality, distality, proximality, etc.). Dynamical systems and ergodic theory -- Topological dynamics -- Symbolic dynamics. Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.). Dynamical systems and ergodic theory -- Complex dynamical systems -- Expanding maps; hyperbolicity; structural stability. Group theory and generalizations -- Permutation groups -- Infinite automorphism groups. Group theory and generalizations -- Structure and classification of infinite or finite groups -- Simple groups. Group theory and generalizations -- Special aspects of infinite or finite groups -- Periodic groups; locally finite groups. Dynamical systems and ergodic theory -- Complex dynamical systems -- Combinatorics and topology.