# Abelian Galois cohomology of reductive groups by Mikhail Borovoi

By Mikhail Borovoi

During this quantity, a brand new functor $H^2_{ab}(K,G)$ of abelian Galois cohomology is brought from the class of attached reductive teams $G$ over a box $K$ of attribute $0$ to the class of abelian teams. The abelian Galois cohomology and the abelianization map$ab^1:H^1(K,G) \rightarrow H^2_{ab}(K,G)$ are used to provide a functorial, nearly particular description of the standard Galois cohomology set $H^1(K,G)$ whilst $K$ is a bunch box.

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