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The 3-class groups of non-Galois cubic fields–II

Published online by Cambridge University Press:  26 February 2010

T. Callahan
T. Callahan
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada.
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Extract

Let K3 be a non-Galois cubic extension of the rationals and let K6 be its normal closure. Under K6 there is a unique quadratic field K2. For i = 2, 3, 6 we define Cli to be the 3-class group of Ki and ri; to be the rank of Cli. In an earlier paper we examined the structure of Cl3 when K2 is complex and K6/K2 is unramified. In this paper we remove these restrictions and obtain similar results.

Type
Research Article
Information
Mathematika , Volume 21 , Issue 2 , December 1974 , pp. 168 - 188
Copyright
Copyright © University College London 1974

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