Lectures on profinite topics in group theory
By: Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal
Contributors: Nikolov, Nikolay; Voll, Christopher; Segal, Daniel, 1947-
Series: London Mathematical Society student text -- 77
Publisher: Cambridge University Press
Published: 2011
Place of publication: Cambridge; New York
Language: eng
Number of pages: 147
ISBN-13: 9781107005297; 9780521183017
Subjects: Group theory; Profinite groups
Description: In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.
Notes: Includes bibliographical references and index.