Homology, Homotopy and Applications
Volume 5 (2003)
Weak corestriction principle for non-abelian Galois cohomology
Pages: 219 – 249
We introduce the notion of (Weak) Corestriction Principle and prove some relations between the validity of this principle for various connecting maps in non-abelian Galois cohomology over fields of characteristic 0. We also prove the validity of Weak Corestriction Principle for images of coboundary maps $H^1(k,G) \to H^2(k,T)$, where $T$ is a finite commutative $k$-group of multiplicative type, $G$ is adjoint, semisimple and contains only almost simple factors of certain inner types.
corestriction maps, Norm maps, Non-abelian Galois cohomology
2010 Mathematics Subject Classification
Primary 11Gxx. Secondary 18G50, 20G10.