Galois cohomology of the classical groups (Q2704193)

The main object of the paper under review is a linear algebraic group \(G\) defined over an arbitrary field of characteristic \(\neq 2\). The author's goal is to give a survey of Galois cohomology of \(G\) showing how classical results can be reformulated and generalized using cohomological language. The focus is made on classical groups. Here are some topics discussed in the paper: reformulation of classical Springer's and Pfister's theorems on quadratic forms in terms of injectivity of maps between Galois cohomology sets of orthogonal groups and generalizations to other groups; reformulation of classification theorems on quadratic forms in cohomological terms; Serre's Conjectures I and II and their real analogues.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00036].