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Algebraic Groups and Number Theory: Volume 1
Vladimir Platonov
(Author)
·
Andrei Rapinchuk
(Author)
·
Igor Rapinchuk
(Author)
·
Cambridge University Press
· Hardcover
Algebraic Groups and Number Theory: Volume 1 - Platonov, Vladimir ; Rapinchuk, Andrei ; Rapinchuk, Igor
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Synopsis "Algebraic Groups and Number Theory: Volume 1"
The first edition of this book provided the first systematic exposition of the arithmetic theory of algebraic groups. This revised second edition, now published in two volumes, retains the same goals, while incorporating corrections and improvements, as well as new material covering more recent developments. Volume I begins with chapters covering background material on number theory, algebraic groups, and cohomology (both abelian and non-abelian), and then turns to algebraic groups over locally compact fields. The remaining two chapters provide a detailed treatment of arithmetic subgroups and reduction theory in both the real and adelic settings. Volume I includes new material on groups with bounded generation and abstract arithmetic groups. With minimal prerequisites and complete proofs given whenever possible, this book is suitable for self-study for graduate students wishing to learn the subject as well as a reference for researchers in number theory, algebraic geometry, and related areas.
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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