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On equivalence of number fields

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An Erratum to this article was published on 01 October 1990

Abstract

LetK be a field,G a finite group.G is calledK-admissible iff there exists a finite dimensionalK-central division algebraD which is a crossed product forG. Now letK andL be two finite extensions of the rationalsQ such that for every finite groupG, G isK-admissible if and only ifG isL-admissible. ThenK andL have the same degree and the same normal closure overQ.

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Authors and Affiliations

  1. Department of Mathematics, Technion — Israel Institute of Technology, 32000, Haifa, Israel

    Jack Sonn

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  1. Jack Sonn
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Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/BF02773755.

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Sonn, J. On equivalence of number fields. Israel J. Math. 52, 239–244 (1985). https://doi.org/10.1007/BF02786519

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  • DOI: https://doi.org/10.1007/BF02786519

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