On Computing Subfields
J. Klüners, M. Pohst, Journal of Symbolic Computation 24 (1997) 385–397.
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Journal Article
| Published
| English
Author
Klüners, JürgenLibreCat;
Pohst, Michael
Department
Abstract
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 thatgis the minimal polynomial of β = h(α). The computations are done in unramifiedp-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.
Publishing Year
Journal Title
Journal of Symbolic Computation
Volume
24
Issue
3-4
Page
385-397
ISSN
LibreCat-ID
Cite this
Klüners J, Pohst M. On Computing Subfields. Journal of Symbolic Computation. 1997;24(3-4):385-397. doi:10.1006/jsco.1996.0140
Klüners, J., & Pohst, M. (1997). On Computing Subfields. Journal of Symbolic Computation, 24(3–4), 385–397. https://doi.org/10.1006/jsco.1996.0140
@article{Klüners_Pohst_1997, title={On Computing Subfields}, volume={24}, DOI={10.1006/jsco.1996.0140}, number={3–4}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen and Pohst, Michael}, year={1997}, pages={385–397} }
Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of Symbolic Computation 24, no. 3–4 (1997): 385–97. https://doi.org/10.1006/jsco.1996.0140.
J. Klüners and M. Pohst, “On Computing Subfields,” Journal of Symbolic Computation, vol. 24, no. 3–4, pp. 385–397, 1997, doi: 10.1006/jsco.1996.0140.
Klüners, Jürgen, and Michael Pohst. “On Computing Subfields.” Journal of Symbolic Computation, vol. 24, no. 3–4, Elsevier BV, 1997, pp. 385–97, doi:10.1006/jsco.1996.0140.
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