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Author:   Benjamin Klopsch (Royal Holloway, University of London) ,  Nikolay Nikolov (Imperial College London) ,  Christopher Voll (University of Southampton) ,  Dan Segal (All Souls College, Oxford)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Volume:   77
ISBN:  

9780511793837

ISBN 10:   0511793839
Publication Date:   05 August 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

Preface; Editor's introduction; Part I. An Introduction to Compact p-adic Lie Groups: 1. Introduction; 2. From finite p-groups to compact p-adic Lie groups; 3. Basic notions and facts from point-set topology; 4. First series of exercises; 5. Powerful groups, profinite groups and pro-p groups; 6. Second series of exercises; 7. Uniformly powerful pro-p groups and Zp-Lie lattices; 8. The group GLd(Zp), just-infinite pro-p groups and the Lie correspondence for saturable pro-p groups; 9. Third series of exercises; 10. Representations of compact p-adic Lie groups; References for Part I; Part II. Strong Approximation Methods: 11. Introduction; 12. Algebraic groups; 13. Arithmetic groups and the congruence topology; 14. The strong approximation theorem; 15. Lubotzky's alternative; 16. Applications of Lubotzky's alternative; 17. The Nori–Weisfeiler theorem; 18. Exercises; References for Part II; Part III. A Newcomer's Guide to Zeta Functions of Groups and Rings: 19. Introduction; 20. Local and global zeta functions of groups and rings; 21. Variations on a theme; 22. Open problems and conjectures; 23. Exercises; References for Part III; Index.

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Author Information

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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