Explicit Galois Realization of Transitive Groups of Degree up to 15
J. Klüners, G. Malle, Journal of Symbolic Computation 30 (2000) 675–716.
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Journal Article
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| English
Author
Klüners, JürgenLibreCat;
Malle, Gunter
Department
Abstract
We describe methods for the construction of polynomials with certain types of Galois groups. As an application we deduce that all transitive groups G up to degree 15 occur as Galois groups of regular extensions of ℚ (t), and in each case compute a polynomial f ∈ ℚ [ x ] with Gal(f) = G.
Publishing Year
Journal Title
Journal of Symbolic Computation
Volume
30
Issue
6
Page
675-716
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LibreCat-ID
Cite this
Klüners J, Malle G. Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation. 2000;30(6):675-716. doi:10.1006/jsco.2000.0378
Klüners, J., & Malle, G. (2000). Explicit Galois Realization of Transitive Groups of Degree up to 15. Journal of Symbolic Computation, 30(6), 675–716. https://doi.org/10.1006/jsco.2000.0378
@article{Klüners_Malle_2000, title={Explicit Galois Realization of Transitive Groups of Degree up to 15}, volume={30}, DOI={10.1006/jsco.2000.0378}, number={6}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Klüners, Jürgen and Malle, Gunter}, year={2000}, pages={675–716} }
Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” Journal of Symbolic Computation 30, no. 6 (2000): 675–716. https://doi.org/10.1006/jsco.2000.0378.
J. Klüners and G. Malle, “Explicit Galois Realization of Transitive Groups of Degree up to 15,” Journal of Symbolic Computation, vol. 30, no. 6, pp. 675–716, 2000, doi: 10.1006/jsco.2000.0378.
Klüners, Jürgen, and Gunter Malle. “Explicit Galois Realization of Transitive Groups of Degree up to 15.” Journal of Symbolic Computation, vol. 30, no. 6, Elsevier BV, 2000, pp. 675–716, doi:10.1006/jsco.2000.0378.
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