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Extensions of number fields defined by cohomology groups

Published online by Cambridge University Press:  22 January 2016

Hans Opolka
Hans Opolka*
Affiliation:
Mathematisches Institut, Einsteinstrasse 64, D-4400 Münster
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Let k be a field of characteristic 0, let be an algebraic closure of k and denote by Gk = G(/k) the absolute Galois group of k. Suppose that for some natural number n ≥ 3 the cohomology group Hn(Gk) Z) is trivial.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 92 , December 1983 , pp. 179 - 186
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1983

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