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Realising wreath products of cyclic groups as Galois groups

Published online by Cambridge University Press:  26 February 2010

R. W. K. Odoni
R. W. K. Odoni
Affiliation:
Department of Mathematics, University of ExeterNorth Park Road, Exeter. EX4 4QE
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Extract

Let K be any field of characteristic 0 and let T and X be algebraically independent over K. For n ≥ 1 let k(n) ≥ 2 be an integer and let fn(X, T) = xk(n) + T ε K [X, T]. We shall regard T as a “parameter” and X as a “variable”. We put F1(X, T) = f1(X, T) and define, for n ≥ 1,

Type
Research Article
Information
Mathematika , Volume 35 , Issue 1 , June 1988 , pp. 101 - 113
Copyright
Copyright © University College London 1988

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