Abstract
In Section 5.5 we encountered the problem of describing a subfield of a given Galois extension K/k of algebraic number fields. This problem can be dealt with independently from the other results achieved so far. The geometric information gained may be seen as a tool to uniquely determine the shape of the Galois group and to give initial data and conditions to the coefficients of those polynomials which are used to perform the following characterization of the given subfield.
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© 2001 Springer-Verlag Berlin Heidelberg
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(2001). Invariants and Resolvent Polynomials. In: Adelmann, C. (eds) The Decomposition of Primes in Torsion Point Fields. Lecture Notes in Mathematics, vol 1761. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44949-3_6
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DOI: https://doi.org/10.1007/3-540-44949-3_6
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Publisher Name: Springer, Berlin, Heidelberg
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Online ISBN: 978-3-540-44949-2
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