Lectures on Profinite Topics in Group Theory

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Lectures on Profinite Topics in Group Theory by Benjamin Klopsch, Nikolay Nikolov, Professor Dr Christopher Voll, Cambridge University Press
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Author: Benjamin Klopsch, Nikolay Nikolov, Professor Dr Christopher Voll ISBN: 9781139235075
Publisher: Cambridge University Press Publication: February 10, 2011
Imprint: Cambridge University Press Language: English
Author: Benjamin Klopsch, Nikolay Nikolov, Professor Dr Christopher Voll
ISBN: 9781139235075
Publisher: Cambridge University Press
Publication: February 10, 2011
Imprint: Cambridge University Press
Language: English

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.

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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.

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