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NONABELIAN NORMAL CM-FIELDS OF DEGREE 2pq
Published online by Cambridge University Press: 01 August 2009
Abstract
We prove that the relative class number of a nonabelian normal CM-field of degree 2pq (where p and q are two distinct odd primes) is always greater than four. Not only does this result solve the class number one problem for the nonabelian normal CM-fields of degree 42, but it has also been used elsewhere to solve the class number one problem for the nonabelian normal CM-fields of degree 84.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2009
Footnotes
The research of the first author was supported by a Korea University Grant.