I. Abdeljaouad, S. Orange, G. Renault, and A. Valibouze, Computation of the Decomposition Group of a Triangular Ideal, Applicable Algebra in Engineering, Communication and Computing, vol.6, issue.3-4, pp.3-4279, 2004.
DOI : 10.1007/s00200-004-0160-x
URL : https://hal.archives-ouvertes.fr/hal-00556814

H. Anai, M. Noro, and K. Yokoyama, Computation of the splitting fields and the Galois groups of polynomials, Algorithms in algebraic geometry and applications, pp.29-50, 1994.
DOI : 10.1007/978-3-0348-9104-2_3

J. Arnaudì-es and A. Valibouze, Lagrange resolvents, J. Pure Appl. Algebra Algorithms for algebra, vol.117118, pp.23-40, 1996.

. Ph, A. Aubry, and . Valibouze, Using Galois ideals for computing relative resolvents, Algorithmic methods in Galois theory, pp.635-651, 2000.

T. Becker and V. Weispfenning, Gröbner bases, volume 141 of Graduate Texts in Mathematics, 1993.

X. Dahan and . Schost, Sharp estimates for triangular sets, Proceedings of the 2004 international symposium on Symbolic and algebraic computation , ISSAC '04, pp.103-110, 2004.
DOI : 10.1145/1005285.1005302

J. H. Davenport, Y. Siret, and E. Tournier, Computer Algebra, 1993.
DOI : 10.1002/3527600434.eap728
URL : https://hal.archives-ouvertes.fr/inria-00072643

K. Geissler, Berechnung von GaloisgruppenüberGaloisgruppen¨Galoisgruppenüber Zhal-und Funktionenkörpern, 2003.

K. Geissler and J. Klüners, Galois Group Computation for Rational Polynomials, Algorithmic methods in Galois theory, pp.653-674, 2000.
DOI : 10.1006/jsco.2000.0377
URL : http://doi.org/10.1006/jsco.2000.0377

L. Langemyr, Algorithms for a multiple algebraic extension II, Proceedings of AAECC-9, pp.224-233, 1991.
DOI : 10.1007/3-540-54522-0_111

D. Lazard, Solving zero-dimensional algebraic systems, Journal of Symbolic Computation, vol.13, issue.2, pp.117-131, 1992.
DOI : 10.1016/S0747-7171(08)80086-7
URL : http://doi.org/10.1016/s0747-7171(08)80086-7

M. Lederer, Explicit constructions in splitting fields of polynomials, Riv. Mat. Univ. Parma, issue.7 3, pp.233-244, 2004.

S. Orange, G. Renault, and A. Valibouze, Calcul efficace de corps de décomposition, 2003.

M. Pohst and H. Zassenhaus, Algorithmic Algebraic Number Theory, 1989.
DOI : 10.1017/CBO9780511661952

G. Renault, Calcul efficace de corps de décomposition, 2005.

N. Rennert and A. Valibouze, Calcul de r??solvantes avec les modules de Cauchy, 17. ´ E. Schost. Sur la résolution des systèmes polynomiauxàpolynomiauxà paramètres, pp.351-366, 1999.
DOI : 10.1090/S0025-5718-1973-0327712-4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.4002

R. Stauduhar, The determination of Galois groups, Mathematics of Computation, vol.27, issue.124, pp.981-996, 1973.
DOI : 10.1090/S0025-5718-1973-0327712-4

A. K. Steel, A New Scheme for Computing with Algebraically Closed Fields, ANTS-V, pp.491-505, 2002.
DOI : 10.1007/3-540-45455-1_38

J. Zur-gathen and J. Gerhard, Modern computer algebra, 2003.
DOI : 10.1017/CBO9781139856065

K. Yokoyama, A modular method for computing the Galois groups of polynomials, Journal of Pure and Applied Algebra, vol.117, issue.118, pp.617-636, 1996.
DOI : 10.1016/S0022-4049(97)00030-3