Lectures on Profinite Topics in Group Theory. / Klopsch, Benjamin; Nikolov, Nikolay; Voll, Christopher.

Cambridge University Press, 2011. 158 p. (London Mathematical Society Student Texts; No. 77).

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Published

Abstract

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 explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The second introduces the theory of compact p-adic analytic 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.
Original languageEnglish
PublisherCambridge University Press
Number of pages158
ISBN (Print)9780521183017
Publication statusPublished - 2011

Publication series

NameLondon Mathematical Society Student Texts
PublisherCambridge University Press
No.77

ID: 1273642