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Proceedings of the American Mathematical Society

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

 

 

Steinitz classes of cyclic extensions of degree $ l\sp{r}$


Author: Robert Long
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
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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$.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0366873-1
Keywords: Steinitz class
Article copyright: © Copyright 1975 American Mathematical Society