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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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 of cyclic extensions of degree $l^{r}$
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by Robert Long PDF
Proc. Amer. Math. Soc. 49 (1975), 297-304 Request permission

Abstract:

Let $k$ be an algebraic number field and $l$ an odd prime. The set of Steinitz classes of tamely ramified cyclic extensions $K/k$ of degree ${l^r}$ is calculated and shown to be a subgroup of the ideal class group of $k$.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 297-304
  • MSC: Primary 12A50
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0366873-1
  • MathSciNet review: 0366873