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Algebraic groups and number theory /

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 e...

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Bibliographic Details
Main Authors: Platonov, V. P. Vladimir Petrovich, 1939
Corporate Authors: Elsevier Science & Technology
Group Author: Rapinchuk, A. S. Andrei Stepanovich; Rowen, Rachel
Published: Academic Press,
Publisher Address: Boston :
Publication Dates: 1994.
Literature type: eBook
Language: English
Russian
Series: Pure and applied mathematics ; v. 139
Subjects:
Algebriac number theory
Linear algebraic groups
Groupes line aires alge briques
Nombres alge briques, The orie des
MATHEMATICS > Pre-Calculus
MATHEMATICS > Reference
MATHEMATICS > Essays
Number theory
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/00798169/139
Summary: 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.
Carrier Form: 1 online resource (xi, 614 pages) : illustrations.
Bibliography: Includes bibliographical references (pages 583-608) and index.
ISBN: 9780080874593
0080874592
1281768820
9781281768827
Index Number: QA3
CLC: O156.2
Contents: (Chapter Heading): Algebraic Number Theory. Algebraic Groups. Algebraic Groups over Locally Compact Fields. Arithmetic Groups and Reduction Theory. Adeles. Galois Cohomology. Approximation in Algebraic Groups. Class Numbers andClass Groups of Algebraic Groups. Normal Structure of Groups of Rational Points of Algebraic Groups. Appendix A. Appendix B: Basic Notation. -- Algebraic Number Theory: Algebraic Number Fields, Valuations, and Completions. Adeles and Ideles; Strong and Weak Approximation; The Local-Global Principle. Cohomology. Simple Algebras over Local Fields. Simple Algebras over Al

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