Nguyêñ Quôć Thǎńg Weak corestriction principle for non-Abelian Galois cohomology. (English) Zbl 1065.11021 Homology Homotopy Appl. 5, No. 1, 219-249 (2003). Summary: 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 \(\text{H}^1(k,G) \to \text{H}^2(k,T)\), 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. Cited in 4 Documents MSC: 11E72 Galois cohomology of linear algebraic groups 18G50 Nonabelian homological algebra (category-theoretic aspects) 20G10 Cohomology theory for linear algebraic groups Keywords:corestriction maps; norm maps; non-Abelian Galois cohomology PDFBibTeX XMLCite \textit{Nguyêñ Quôć Thǎńg}, Homology Homotopy Appl. 5, No. 1, 219--249 (2003; Zbl 1065.11021) Full Text: DOI EMIS