Abelian Galois Cohomology of Reductive Groups

Know about the book -

Abelian Galois Cohomology of Reductive Groups is written by Mikhail Borovoi and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821806505 (ISBN 10) and 9780821806500 (ISBN 13).

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