ENGLISH

Algebraic Groups and Number Theory: Volume 1

By Vladimir Platonov , Andrei Rapinchuk , Igor Rapinchuk

Book information

Publisher
Cambridge University Press
Year
2023
ISBN
9780521113618, 9781139017756
Language
english
Format
PDF
Filesize
4 MB (4182227 bytes)
Series
Cambridge Studies in Advanced Mathematics, Series Number 205
Volume
1
Edition
2
Pages
381\379
Topic
Mathematics Algebra
Time added
2024-10-05 10:57:03

Description

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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