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

Published online by Cambridge University Press:  20 November 2018

Boris Brauckmann
Boris Brauckmann*
Affiliation:
Westf. Wilhelms-Universität Math. Institut Einsteinstr. 62 D-4400 Münster
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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 K2(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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 2 , 01 April 1991 , pp. 255 - 264
Copyright
Copyright © Canadian Mathematical Society 1991

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