Exemples classiques d’extensions normales de $𝐐$ à groupe de Galois non résoluble

 Access to full text

 Full (PDF)

1. [1] Douady A. , Détermination d'un groupe de Galois, C.R. Acad. Sci.Paris, 258 (1964), 5305-5308. Zbl0146.42105MR162796
2. [2] Fricke R. , Elliptische Funktionen, Leipzig (1922). 
3. [3] Hilbert D. , Ueber die Irreducibilität ganzer rationaler Functionen unit ganzzahligen Coefficienten, J. reine angew. Math., 110 (1892), 104-129. Zbl24.0087.03JFM24.0087.03
4. [4] Krull W. & Neukirch J., Die Struktur der absoluten Galoisgruppe Uber dem Körper $ℝ\left(t\right)$, Math. Annalen, 193 (1971), 197-209. Zbl0236.12104MR289471
5. [5] Lang S., Algebraic Number Theory, New-York (1970). Zbl0601.12001MR282947
6. [6] Lang S., Diophantine Geometry. New-York (1962). Zbl0115.38701MR142550
7. [7] Mac Beath A.M. , Extensions of the rationals with Galois group $PGL(2,{\mathbb{Z}}_n)$, Bull. London Math. Soc., 1 (1969), 332-338. Zbl0184.07603MR258801
8. [8] Philippe A., Extensions minimales de corps, Mémoire de D.E.A. (1969) = exposé au séminaire de Théorie des Nombres Grenoble (1972). 
9. [9] Serre J.P., Corps locaux, Paris (1962). Zbl0137.02501MR150130
10. [10] Serre J.P., Abelian $\ell$-adic representations and elliptic curves, New-York (1968). Zbl0186.25701
11. [11] Serre J.P., Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Inventiones math., 15 (1972), 259-331. Zbl0235.14012MR387283
12. [12] Shafarevich I.R., Construction of fields of algebraic numbers with given Galois group, Izvestiia Akad. Nauk SSSR, 18. (1954), 525-578. Zbl0057.27401MR71469
13. [13] Shimura G., A reciprocity law in non-solvable extensions, J. reine angew. Math., 221 (1966), 209-220. Zbl0144.04204MR188198
14. [14] Shimura G., Introduction to the arithmetic theory of automorphic functions, Princeton (1971). Zbl0872.11023MR314766
15. [15] Springer G., Introduction to Riemann surfaces, Reading (1957). Zbl0078.06602MR92855
16. [16] Weber H., Lehrbuch der Algebra, vol. 3, Strassburg (1908). Zbl39.0227.04JFM30.0093.01