@incollection{SB_1987-1988__30__73_0, author = {Serre, Jean-Pierre}, title = {Groupes de {Galois} sur $\mathbf {Q}$}, booktitle = {S\'eminaire Bourbaki : volume 1987/88, expos\'es 686-699}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:689}, publisher = {Soci\'et\'e math\'ematique de France}, number = {161-162}, year = {1988}, zbl = {0684.12009}, mrnumber = {992203}, language = {fr}, url = {http://archive.numdam.org/item/SB_1987-1988__30__73_0/} }
TY - CHAP AU - Serre, Jean-Pierre TI - Groupes de Galois sur $\mathbf {Q}$ BT - Séminaire Bourbaki : volume 1987/88, exposés 686-699 AU - Collectif T3 - Astérisque N1 - talk:689 PY - 1988 DA - 1988/// IS - 161-162 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1987-1988__30__73_0/ UR - https://zbmath.org/?q=an%3A0684.12009 UR - https://www.ams.org/mathscinet-getitem?mr=992203 LA - fr ID - SB_1987-1988__30__73_0 ER -
Serre, Jean-Pierre. Groupes de Galois sur $\mathbf {Q}$, dans Séminaire Bourbaki : volume 1987/88, exposés 686-699, Astérisque, no. 161-162 (1988), Exposé no. 689, 13 p. http://archive.numdam.org/item/SB_1987-1988__30__73_0/
[1] M12 comme groupe de Galois sur Q , C.R. Acad. Sci. Paris 303 (1986), 277-280. | MR 859801 | Zbl 0598.12008
, et -[2] Extensions galoisiennes du corps cyclotomique maximal [en russe], Izv. Akad. Nauk SSSR 43 (1979), 267-276 (= Math. USSR Izv. 14 (1980), 247-- 256). | Zbl 0409.12012
-[3] On extensions of the maximal cyclotomic field having a given classical Galois group, J. Crelle 341 (1983), 147-156. | MR 697314 | Zbl 0515.12008
-[4] Polynomials with Frobenius groups of prime degree as Galois groups II, J. of Number Theory, 24 (1986) , 305-359. | MR 866976 | Zbl 0598.12009
, et -[5] ATLAS of Finite Groups, Clarendon Press, Oxford, 1985. | MR 827219 | Zbl 0568.20001
, , , et -[6] Realisierung von symplektischen Gruppen als Galoisgruppen über Q , Diplomarbeit, Karlsruhe, 1987.
-[7] Ã5 and Ã7 are Galois groups over number fields, J. of Algebra 104 (1986), 231-260. | MR 866773 | Zbl 0609.12005
-[8] On Hilbert's irreducibility theorem, J. of Number Theory 6 (1974) , 211-232. | MR 349624 | Zbl 0299.12002
-[9] Fields of definition of function fields and Hurwitz families, Groups as Galois groups, Commun. Alg. 5 (1977), 17-82. | MR 453746 | Zbl 0478.12006
-[10] Rigidity and applications of the classification of simple groups to monodromy, preprint, 1987.
-[11] Revêtements étales et groupe fondamental (SGA I), Lect. Notes in Math. 224, Springer-Verlag, 1971. | MR 354651
-[12] Über die Irreduzibilität ganzer rationaler Funktionen mit ganzzahligen Koeffizienten, J. Crelle 110 (1892), 104-129 (= Ges. Abh. II, 264-286). | JFM 24.0087.03
-[13] Rational rigidity and the sporadic groups, J. of Algebra 99 (1986), 577-592. | MR 837564 | Zbl 0598.12005
-[14] Fundamentals of Diophantine Geometry, Springer-Verlag, 1983. | MR 715605 | Zbl 0528.14013
-[15] Polynomicals with Galois groups Aut (M22) , M22 and PSL3 (F4). 22 over Q , à paraître.
-[16] Exzeptionnelle Gruppen vom Lie-typ als Galoisgruppen, à paraître. | Zbl 0732.12006
-[17] Realisierung von Gruppen PSL2(Fp) als Galoisgruppen über Q , Math. Ann. 272 (1985), 549-565. | MR 807290 | Zbl 0559.12005
et -[18] Zur Konstruktion von Zahl - und Funktionenkörpern mit vorgegebener Galoisgruppe, Habilitationsschrift, Karlsruhe, 1980 (voir aussi J. Crelle 349 (1984), 179-220). | MR 743971 | Zbl 0555.12005
-[19] Zwei Aspekte konstruktiver Galoistheorie, J. of Algebra 96 (1985), 499-531. | MR 810543 | Zbl 0587.12004
-[20] Realisierung endlicher Gruppen als Galoisgruppen, Man. Math. 51 (1985), 253-265. | MR 788682 | Zbl 0574.12010
-[21] Topologische Automorphismen in der konstruktiven Galoistheorie, J. Crelle 371 (1986), 16-45. | MR 859318 | Zbl 0596.12009
-[22] Konstruktive Galoistheorie, Lect. Notes in Math., 1284, Springer-Verlag, 1987. | MR 1004467 | Zbl 0634.12011
-[23] Rationality criteria for Galois extensions, 1987, à paraître. | Zbl 0784.12005
-[24] Realisierung der Mathieugruppen M11 und M12 als Galoisgruppen über Q , J. of Number Theory 23 (1986), 195-202. | MR 845901 | Zbl 0598.12007
et -[25] On solvable number fields, Invent. Math. 53 (1979), 135-164. | MR 560411 | Zbl 0447.12008
-[26] Construction de corps de nombres algébriques à groupe de Galois résoluble donné [en russe] , Izv. Akad. Nauk SSSR 18 (1954), 525- 578 (= Amer. Math. Soc. Transl. 4 (1956), 185-237).
-[27] Generic Galois extensions and problems in field theory, Adv. in Math. 43 (1982), 250-283. | MR 648801 | Zbl 0484.12004
-[28] L'invariant de Witt de la forme Tr(x2) , Comm. Math. Helv. 59 (1984), 651-676. | MR 780081 | Zbl 0565.12014
-[29] On the construction of Galois extensions of function fields and number fields, Math. Ann. 207 (1974), 99-120. | MR 332725 | Zbl 0279.12102
-[30] Some finite groups which appear as Gal (L/K) , where K ⊆ Q(μn) , J. of Algebra 89 (1984), 437-499. | Zbl 0552.12004
-[31] PSL3 and Galois groups over Q , Proc. Rutgers groups theory year 1983-1984, Cambridge Univ. Press (1984), 309-319. | MR 817264 | Zbl 0635.12006
-[32] Some finite groups of type G2 which appear as Galois groups over Q , preprint, 1983.
-[33] On central extensions of An as Galois group over Q , Arch. Math. 44 (1985), 424-437. | MR 792366 | Zbl 0562.12011
-[34] The field of definition of a variety, Amer. J. Math. 78 (1956), 509-524 (= Oe. Sci. II, 291-306). | MR 82726 | Zbl 0072.16001
-