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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On ideal class groups of $ 2$-power exponent


Authors: A. G. Earnest and O. H. Körner
Journal: Proc. Amer. Math. Soc. 86 (1982), 196-198
MSC: Primary 12A25; Secondary 12A50
DOI: https://doi.org/10.1090/S0002-9939-1982-0667271-7
MathSciNet review: 667271
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Abstract: It is shown that for a fixed totally real algebraic number field $ k$ and a fixed positive integer $ t$, there exist only finitely many totally imaginary quadratic extensions $ K$ of $ k$ having ideal class groups of exponent $ {2^t}$.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0667271-7
Keywords: Ideal class group, quadratic extension, totally real algebraic number field
Article copyright: © Copyright 1982 American Mathematical Society