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Construction of semiabelian Galois extensions

Published online by Cambridge University Press:  18 May 2009

Michael Stoll
Mathematisches Institut Der UniversitätBeringstr. 4, D-53115 Bonn, 〈〉
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This paper shows how to construct Galois field extensions of Hilbertian fields with a given group out of some subclass (called ‘semiabelian groups’ by Matzat [2]) of all soluble groups as Galois group. This is done in a fairly explicit way by constructing polynomials whose Galois groups are universal in the sense that every group in the above subclass is obtained as a quotient of some of them.

Research Article
Copyright © Glasgow Mathematical Journal Trust 1995



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