Abstract | ||
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The purpose of this article is to determine all subfields Q(β) of fixed degree of a given algebraic number field Q(α). It is convenient to describe each subfield by a pair ( h , g ) of polynomials in Q[t] resp. Z[t] such that g is the minimal polynomial of β = h (α). The computations are done in unramified p -adic extensions and use information concerning subgroups of the Galois group of the normal closure of Q(α) obtained from the van der Waerden criterion. |
Year | DOI | Venue |
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1997 | 10.1006/jsco.1996.0140 | J. Symb. Comput. |
DocType | Volume | Issue |
Journal | 24 | 3-4 |
ISSN | Citations | PageRank |
Journal of Symbolic Computation | 6 | 1.20 |
References | Authors | |
0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
JüRgen KlüNers | 1 | 49 | 10.32 |
Michael Pohst | 2 | 211 | 63.75 |