02403nam a22003978a 4500 CR9780511793837 UkCbUP 20180107143412.0 m|||||o||d|||||||| cr|||||||||||| 100630s2011||||enk s ||1 0|eng|d 9780511793837 (ebook) 9781107005297 (hardback) 9780521183017 (paperback) UkCbUP UkCbUP rda QA177 .K56 2011 512/.2 22 Klopsch, Benjamin, author. Lectures on Profinite Topics in Group Theory / [electronic resource] Benjamin Klopsch, Nikolay Nikolov, Christopher Voll, Edited by Dan Segal. Cambridge : Cambridge University Press, 2011. 1 online resource (158 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society Student Texts ; no. 77 Title from publisher's bibliographic system (viewed on 09 Oct 2015). 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. Profinite groups Group theory Nikolov, Nikolay, author. Voll, Christopher, author. Segal, Dan, editor of compilation. Print version: 9781107005297 London Mathematical Society Student Texts ; no. 77. http://dx.doi.org/10.1017/CBO9780511793837 Cambridge Books Online 236504 236504