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On non-ramified extensions with prescribed Galois group

Published online by Cambridge University Press:  26 February 2010

A. Fröhlich
A. Fröhlich
Affiliation:
University of London, King's College, Strand, London, W.C.2.
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Extract

In this note we prove:

Theorem. Let Λ be a normal number field of absolute degree n. Then there exist infinitely many normal number fields K with the following properties.

(i) The Galois group of K over the rational field Q is the symmetric group Sn on n symbols.

Type
Research Article
Information
Mathematika , Volume 9 , Issue 2 , December 1962 , pp. 133 - 134
Copyright
Copyright © University College London 1962

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