TY - BOOK

T1 - Lectures on Profinite Topics in Group Theory

AU - Klopsch, Benjamin

AU - Nikolov, Nikolay

AU - Voll, Christopher

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

M3 - Book

SN - 9780521183017

T3 - London Mathematical Society Student Texts

BT - Lectures on Profinite Topics in Group Theory

PB - Cambridge University Press

ER -