Abelian Galois Cohomology of Reductive Groups (Memoirs of the American Mathematical Society)

By Mikhail Borovoi

In this volume, a new function H 2/ab (K, G) of abelian Galois cohomology is introduced from the category of connected reductive groups G over a field K of characteristic 0 to the category of abelian groups. The abelian Galois cohomology and the abelianization map ab1: H1 (K, G) -- H 2/ab (K, G) are used to give a functorial, almost explicit description of the usual Galois cohomology set H1 (K, G) when K is a number field

• Format: Hardcover
• Language: English
• ISBN: 0821806505
• ISBN13: 9780821806500
• Release Date: January 1998
• Publisher: Amer Mathematical Society
• Length: 50 Pages
• Weight: 0.31 lbs.
• Dimensions: 0.6" x 5.9" x 9.8"