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...
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| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2011
|
| Series: | London Mathematical Society student texts
77 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-355 Volltext |
| Summary: | 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 |
| Physical Description: | 1 Online-Ressource (ix, 147 Seiten) |
| ISBN: | 9780511793837 |
| DOI: | 10.1017/CBO9780511793837 |
Staff View
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| author | Klopsch, Benjamin Nikolov, Nikolai Voll, Christopher |
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| contents | An introduction to compact p-adic Lie groups / Benjamin Klopsch -- Strong approximation methods / Nikolay Nikolov -- A newcomer's guide to zeta functions of groups and rings / Christopher Voll |
| ctrlnum | (ZDB-20-CBO)CR9780511793837 (OCoLC)992910225 (DE-599)BVBBV043940527 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV043940527 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-14T09:00:53Z |
| institution | BVB |
| isbn | 9780511793837 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349497 |
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| physical | 1 Online-Ressource (ix, 147 Seiten) |
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| publishDate | 2011 |
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| spelling | Klopsch, Benjamin Verfasser (DE-588)1175133159 aut 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 rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 77 An introduction to compact p-adic Lie groups / Benjamin Klopsch -- Strong approximation methods / Nikolay Nikolov -- A newcomer's guide to zeta functions of groups and rings / Christopher Voll 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 Profinite groups Group theory Nikolov, Nikolai Verfasser (DE-588)1027483429 aut Voll, Christopher Verfasser (DE-588)1175133264 aut Segal, Daniel 1947- (DE-588)133203670 edt Erscheint auch als Druck-Ausgabe 978-1-107-00529-7 Erscheint auch als Druck-Ausgabe 978-0-521-18301-7 https://doi.org/10.1017/CBO9780511793837 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Klopsch, Benjamin Nikolov, Nikolai Voll, Christopher Lectures on profinite topics in group theory An introduction to compact p-adic Lie groups / Benjamin Klopsch -- Strong approximation methods / Nikolay Nikolov -- A newcomer's guide to zeta functions of groups and rings / Christopher Voll Profinite groups 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 |
| topic | Profinite groups Group theory |
| topic_facet | Profinite groups Group theory |
| url | https://doi.org/10.1017/CBO9780511793837 |
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