Lectures on profinite topics in group theory:
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 secon...
Gespeichert in:
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Weitere beteiligte Personen: | , , |
Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2011
|
Schriftenreihe: | London Mathematical Society student texts
77 |
Links: | https://doi.org/10.1017/CBO9780511793837 |
Zusammenfassung: | 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. |
Umfang: | 1 Online-Ressource (ix, 147 Seiten) |
ISBN: | 9780511793837 |
Internformat
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100 | 1 | |a Klopsch, Benjamin | |
245 | 1 | 0 | |a Lectures on profinite topics in group theory |c Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal |
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490 | 1 | |a London Mathematical Society student texts |v 77 | |
520 | |a 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. | ||
700 | 1 | |a Nikolov, Nikolay | |
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700 | 1 | |a Voll, Christopher | |
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spelling | Klopsch, Benjamin Lectures on profinite topics in group theory Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal Cambridge Cambridge University Press 2011 1 Online-Ressource (ix, 147 Seiten) txt c cr London Mathematical Society student texts 77 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. Nikolov, Nikolay Segal, Daniel 1947- Voll, Christopher Erscheint auch als Druck-Ausgabe 9780521183017 Erscheint auch als Druck-Ausgabe 9781107005297 |
spellingShingle | Klopsch, Benjamin Lectures on profinite topics in group theory |
title | Lectures on profinite topics in group theory |
title_auth | Lectures on profinite topics in group theory |
title_exact_search | Lectures on profinite topics in group theory |
title_full | Lectures on profinite topics in group theory Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal |
title_fullStr | Lectures on profinite topics in group theory Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal |
title_full_unstemmed | Lectures on profinite topics in group theory Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal |
title_short | Lectures on profinite topics in group theory |
title_sort | lectures on profinite topics in group theory |
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