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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Steinitz classes in quartic fields
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by Stephen Pierce PDF
Proc. Amer. Math. Soc. 43 (1974), 39-41 Request permission

Abstract:

Let $K$ be normal quartic over the rationals. Let $l \equiv 3$ (4) be an odd prime. If the class number of $K$ is even, there is a normal extension $L$ of degree $l$ over $K$ such that the relative discriminant is principal, but $L$ has no relative integral base over $K$.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 39-41
  • MSC: Primary 12A30
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0327715-2
  • MathSciNet review: 0327715