Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory
This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function.
A Course on Finite Groups introduces the fundamentals of group theory to advanced undergraduate and beginning graduate students. Based on a series of lecture courses developed by the author over many years, the book starts with the basic definitions and examples and develops the theory to the point where a number of classic theorems can be proved. The topics covered include: Lagrange’s theorem; group constructions; homomorphisms and isomorphisms; actions;
Classrooms provide extremely varied settings in which learning may take place, including teacher-led conversations, small group unguided discussions, individual problem solving or computer supported collaborative learning (CSCL).
Unity comes from the fact that researchers belong to a common adventure - changing school practices and norms. This adventure is moved by societal ideals of reason and equity. Contexts for learning are not immutable givens. Researchers are interested in implementing certain practices or instilling certain norms
The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems focused on amenable groups, and relied on the existence of an asymptotically invariant sequence in the group, the resulting maximal inequalities based on covering arguments, and the transference principle.
Praised for its writing style, research base, and range of topics covered, Small Group and Team Communication develops issues of diversity, ethics, technology and the organizational use of groups and teams within a systems theory framework. Clearly organized and logically presented, this book provides the opportunity for outstanding discussions of critical issues. Harris and Sherblom effectively integrate real-world examples, hypothetical situations, social science theories, and scholarly research into a unified discussion of small group and team communication.
