The group \(K_ 3\) for a field. (English. Russian original) Zbl 0725.19003

Merkur’ev, A. S.; Suslin, A. A.

Math. USSR, Izv. 36, No. 3, 541-565 (1991); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 3, 522-545 (1990).

See the review in Zbl 0711.19002.

MSC:

19D45	Higher symbols, Milnor \(K\)-theory
11R70	\(K\)-theory of global fields
11E70	\(K\)-theory of quadratic and Hermitian forms
12F10	Separable extensions, Galois theory
11E81	Algebraic theory of quadratic forms; Witt groups and rings
18F25	Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)

Keywords:

relative K-theory; Severi-Brauer schemes; Chern classes; Milnor K-groups; Quillen K-groups; torsion; cotorsion; Hilbert 90 theorem; Galois extension; Milnor’s canonical epimorphism; Witt ring

Citations:

Zbl 0711.19002