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Chinese remainder theorems and Galois modules
Published online by Cambridge University Press: 09 April 2009
Abstract
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This paper studies the relationship between a normal algebraic extension L of an algebraic number field K, viewed as a Galois module, and valuations of the field L. In particular, the paper seeks to establish a relationship between Galois submodules of L and certain types of Chinese Remainder Theorems.
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- Research Article
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- Copyright Australian Mathematical Society 1986
References
1Cassels, J. W. S. and Frohlich, A., Algebraic number theory (Academic Press, London, 1967).Google Scholar
6Serre, J.-P., Linear representations of finite groups (GTM Vol. 42, Springer-Verlag, New York, 1977).CrossRefGoogle Scholar
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