Lectures on Profinite Topics in Group Theory Paperback / softback
by Benjamin (Royal Holloway, University of London) Klopsch, Nikolay (Imperial College London) Nikolov, Christopher (University of Southampton) Voll
Edited by Dan (All Souls College, Oxford) Segal
Part of the London Mathematical Society Student Texts series
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.
- Format: Paperback / softback
- Pages: 158 pages, Worked examples or Exercises
- Publisher: Cambridge University Press
- Publication Date: 10/02/2011
- Category: Groups & group theory
- ISBN: 9780521183017