Lectures on Profinite Topics in Group Theory
Benjamin Klopsch · Nikolay Nikolov · Christopher Voll
Feb 2011 · London Mathematical Society Student Texts Book 77 · Cambridge University Press
Ebook
175
Pages
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About this ebook
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.
About the author
Benjamin Klopsch is a Senior Lecturer in the Department of Mathematics at Royal Holloway, University of London.
Nikolay Nikolov is a Reader in Mathematics in the Department of Mathematics at Imperial College London.
Christopher Voll is a Lecturer in the School of Mathematics at the University of Southampton.
Dan Segal is a Senior Research Fellow at All Souls College, Oxford.
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