The 2-Sylow-Subgroup of the Tame Kernel of Number Fields

Brauckmann, Boris

Canadian journal of mathematics, Tome 43 (1991) no. 2, pp. 255-264

Résumé

For a number field F with ring of integers OF the tame symbols yield a surjective homomorphism with a finite kernel, which is called the tame kernel, isomorphic to K 2(OF ). For the relative quadratic extension E/F, where and E ≠ F, let CS(E/ F)(2) denote the 2-Sylow-subgroup of the relative S-class-group of E over F, where S consists of all infinite and dyadic primes of F, and let m be the number of dyadic primes of F, which decompose in E.

Détail

DOI : 10.4153/CJM-1991-014-x

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