Keywords
- Galois Group
- Number Field
- Galois Extension
- Group Extension
- Abelian Extension
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References
J. Brinkhuis, Embedding problems and Galois modules, doctoral dissertation, Leiden 1981.
J. Brinkhuis, Embedding problems and normal integral bases, Math. Ann. 264 (1983), 537–543.
J. Brinkhuis, Galois modules and embedding problems, J. Reine Angew. Math. 346(1984), 141–165.
A. Fröhlich, The rational characterization of certain sets of relatively Abelian extensions, Phil. Trans. Royal Soc. London. Series A no. 988, Vol. 251(1959), 385–425.
A. Fröhlich, Galois module structure of algebraic integers, Ergebnisse der Math.3, 1(1983).
U. Jannsen, private communication.
H. Lenstra Jr., letter.
L. McCulloh, A Stickelberger condition on Galois module structure for Kummer extensions of prime degree in Algebraic Number Fields, ed A. Fröhlich, Proc. Durham Symposium, London-New York 1977, 561–588.
L. McCulloh, Galois module structure of elementary abelian extensions, Journal of Algebra.
W. Narkiewicz, Algebraic Numbers, P.W.N. — Polish Scientific Publishers, Warszawa (1974).
J.-P. Serre, Cohomologie Galoisienne, Lecture Notes in Math., No.5, 3eed., Springer (1965).
P. Wolff, Algebraische Theorie der galoisschen Algebren, Berlin (1956).
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© 1985 Springer-Verlag
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Brinkhuis, J. (1985). Normal integral bases and embeddings of fields. In: Reiner, I., Roggenkamp, K.W. (eds) Orders and their Applications. Lecture Notes in Mathematics, vol 1142. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074790
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DOI: https://doi.org/10.1007/BFb0074790
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