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Integral Normal Bases in Galois Extensions of Local Fields

Published online by Cambridge University Press:  22 January 2016

S. Ullom
S. Ullom*
Affiliation:
University of Illinois, Urbana, Illinois
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Throughout this paper F denotes a field complete with respect to a discrete valuation, kF the residue field of F, K/F a finite Galois extension with Galois group G = G(K/F). The ring of integers 0K of K contains the (unique) prime ideal ; the collection of ideals n for all integers n are ambiguous ideals i.e. G-modules.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 39 , August 1970 , pp. 141 - 148
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1970

References

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[6] Ullom, S., Normal bases in Galois extensions of number fields, Nagoya Math. J. 34 (1969), 153–167.Google Scholar