Hilbert-symbol equivivalence of number fields

Rok, strany: 1997, 7 - 16

Hilbert-symbol equivalence is a Hilbert-symbol preserving map between groups of square classes of two global fields. Its importance stems from the fact that global fields have isomorphic Witt rings of quadratic forms if and only if the fields are Hilbert-symbol equivalent. Here we give a new proof of this result based on a description of Steinberg symbols on a global field with values in a two-element group.

ISO 690:

Szymiczek, K. 1997. Hilbert-symbol equivivalence of number fields. In Tatra Mountains Mathematical Publications, vol. 11, no.2, pp. 7-16. 1210-3195.

APA:

Szymiczek, K. (1997). Hilbert-symbol equivivalence of number fields. Tatra Mountains Mathematical Publications, 11(2), 7-16. 1210-3195.