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The 3-class groups of non-Galois cubic fields—I

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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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 C1i; to be the 3-class group of K2 and ri to be the rank of Cli. We suppose that K2 is complex and that K6/K2 is unramified. Our main result is

Type
Research Article
Information
Mathematika , Volume 21 , Issue 1 , June 1974 , pp. 72 - 89
Copyright
Copyright © University College London 1974

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