Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Introduction to Arithmetic Groups
 
Introduction to Arithmetic Groups
Softcover ISBN:  978-1-4704-5231-5
Product Code:  ULECT/73
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-5431-9
Product Code:  ULECT/73.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-1-4704-5231-5
eBook: ISBN:  978-1-4704-5431-9
Product Code:  ULECT/73.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
Introduction to Arithmetic Groups
Click above image for expanded view
Introduction to Arithmetic Groups
Softcover ISBN:  978-1-4704-5231-5
Product Code:  ULECT/73
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $55.20
eBook ISBN:  978-1-4704-5431-9
Product Code:  ULECT/73.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $52.00
Softcover ISBN:  978-1-4704-5231-5
eBook ISBN:  978-1-4704-5431-9
Product Code:  ULECT/73.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $107.20 $81.20
  • Book Details
     
     
    University Lecture Series
    Volume: 732019; 118 pp
    MSC: Primary 22; Secondary 11; 20;

    Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmétiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces.

    The review of the original French version in Mathematical Reviews observes that “the style is concise and the proofs (in later sections) are often demanding of the reader.” To make the translation more approachable, numerous footnotes provide helpful comments.

    Readership

    Graduate students and researchers interested in the theory of algebraic groups.

  • Table of Contents
     
     
    • Chapters
    • Some classical groups
    • Algebraic groups
    • Fundamental sets with cusps
  • Reviews
     
     
    • Borel's 'Introduction aux groupes arithmétiques' is a classic that has served generations of graduate students and researchers interested in arithmetic subgroups of algebraic groups. The AMS has done a huge service to this community by making an English translation of the book available.

      Benjamin Linowitz, MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 732019; 118 pp
MSC: Primary 22; Secondary 11; 20;

Fifty years after it made the transition from mimeographed lecture notes to a published book, Armand Borel's Introduction aux groupes arithmétiques continues to be very important for the theory of arithmetic groups. In particular, Chapter III of the book remains the standard reference for fundamental results on reduction theory, which is crucial in the study of discrete subgroups of Lie groups and the corresponding homogeneous spaces.

The review of the original French version in Mathematical Reviews observes that “the style is concise and the proofs (in later sections) are often demanding of the reader.” To make the translation more approachable, numerous footnotes provide helpful comments.

Readership

Graduate students and researchers interested in the theory of algebraic groups.

  • Chapters
  • Some classical groups
  • Algebraic groups
  • Fundamental sets with cusps
  • Borel's 'Introduction aux groupes arithmétiques' is a classic that has served generations of graduate students and researchers interested in arithmetic subgroups of algebraic groups. The AMS has done a huge service to this community by making an English translation of the book available.

    Benjamin Linowitz, MAA Reviews
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
You may be interested in...
Please select which format for which you are requesting permissions.