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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the monoid of tame extensions


Authors: Cornelius Greither and D. K. Harrison
Journal: Trans. Amer. Math. Soc. 311 (1989), 657-682
MSC: Primary 11R33
MathSciNet review: 978371
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Abstract: This paper deals with not necessarily maximal orders in abelian extensions of number fields. We restrict our attention to orders invariant under the Galois group $ G$. Based on recent work of Childs and Hurley [CH], we introduce a notion of tameness for such orders (actually this is done in a slightly more general setting). The maximal order is tame in this sense if and only if the field extension is tamely ramified.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0978371-7
PII: S 0002-9947(1989)0978371-7
Article copyright: © Copyright 1989 American Mathematical Society