Algebraic Groups and Number Theory
eBook - PDF

Algebraic Groups and Number Theory

  1. 614 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Groups and Number Theory

About this book

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date.

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Yes, you can access Algebraic Groups and Number Theory by Vladimir Platonov,Andrei Rapinchuk,Rachel Rowen in PDF and/or ePUB format, as well as other popular books in Mathematics & Linear Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Algebraic Groups and Number Theory
  3. Copyright Page
  4. Contents
  5. Preface to the English Edition
  6. Preface to the Russian Edition
  7. Chapter 1. Algebraic number theory
  8. Chapter 2. Algebraic Groups
  9. Chapter 3. Algebraic Groups over Locally Compact Fields
  10. Chapter 4. Arithmetic Groups and Reduction Theory
  11. Chapter 5. Adeles
  12. Chapter 6. Galois cohomology
  13. Chapter 7. Approximation in Algebraic Groups
  14. Chapter 8. Class numbers and class groups of algebraic groups
  15. Chapter 9. Normal subgroup structure of groups of rational points of algebraic groups
  16. Appendix A
  17. Appendix B. Basic Notation
  18. Bibliography
  19. Index