Structures galoisiennes et courbes elliptiques
Journal de théorie des nombres de Bordeaux, Volume 7 (1995) no. 1, p. 307-331
@article{JTNB_1995__7_1_307_0,
     author = {Cassou-Nogu\`es, Philippe and Taylor, Martin J.},
     title = {Structures galoisiennes et courbes elliptiques},
     journal = {Journal de th\'eorie des nombres de Bordeaux},
     publisher = {Universit\'e Bordeaux I},
     volume = {7},
     number = {1},
     year = {1995},
     pages = {307-331},
     zbl = {0852.11066},
     mrnumber = {1413581},
     language = {fr},
     url = {http://www.numdam.org/item/JTNB_1995__7_1_307_0}
}
Cassou-Nogues, Philippe; Taylor, Martin J. Structures galoisiennes et courbes elliptiques. Journal de théorie des nombres de Bordeaux, Volume 7 (1995) no. 1, pp. 307-331. http://www.numdam.org/item/JTNB_1995__7_1_307_0/

[A-T] S.A. Agboola et M.J. Taylor, Class invariants of Mordell- Weil groups, à paraître.

[B-T] S.N. Byott et M.J. Taylor, Hopf structure and Galois modules, Group rings and class groups, DMV seminar 18 (1992), Birkhaüser. | MR 1167451 | Zbl 0811.11068

[CN-S] Ph. Cassou-Noguès et A. Srivastav, Galois module structure of Kummer 2-extensions and elliptic curves of rank ≽ 1, à paraître.

[CN-T] Ph. Cassou-Noguès et M.J. Taylor, Espaces homogènes principaux, unités elliptiques et fonctions L, Ann. Inst. 44 (1994), 631-661. | Numdam | MR 1303880 | Zbl 0810.11039

[F1] A. Fröhlich, Invariants for modules over commutative separable orders, Quart J. Math. Oxford 2 16 (1965), 193-232. | MR 210697 | Zbl 0192.14002

[F2] A. Frôhlich, Artin root numbers and normal integral bases for quaternion fields, Invent. Math. 17 (1972), 143-166. | MR 323759 | Zbl 0261.12008

[Le] H.W. Leopoldt, Uber die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers, J. reine angew Math. 201 (1959), 119-149. | MR 108479 | Zbl 0098.03403

[F2] S. Lang, Cyclotomic fields, Graduate texts in Mathematics 59, Springer-Verlag. | MR 485768 | Zbl 0395.12005

[M] J. Milne, Etale cohomology, Princeton Univ. Press, New Jersey (1980). | MR 559531 | Zbl 0433.14012

[PR] B. Perrin-Riou, Arithmétique des courbes elliptiques et théorie d'Iwasawa, Mémoire de la S.M.F. 17 (1984). | Numdam | Zbl 0599.14020

[R] K. Rubin, p-adic L-functions and rational points on elliptic curves with complex multiplication, Invent. Math. 107 (1992), 323-350. | MR 1144427 | Zbl 0770.11033

[Se-T] J.P. Serre et J. Tate, Good reduction of abelian varieties, Ann. of Math. 68 (1968),492-517. | MR 236190 | Zbl 0172.46101

[S-T] A. Srivastav et M.J. Taylor, Elliptic curves with complex multiplication and Galois module structure, Invent. Math. 99 (1990), 165-184. | MR 1029394 | Zbl 0705.14031

[SW] M.E. Sweedler, Hopf algebras, W.A. Benjamin, New York (1969). | MR 252485 | Zbl 0194.32901

[T1] M.J. Taylor, On Fröhlich's conjecture for rings of integers of tame extensions, Invent. Math. 63 (1981), 41-79. | MR 608528 | Zbl 0469.12003

[T2] M.J. Taylor, Galois module structure of rings of integers in Kummer extensions, Bull. L.M.S. 12 (1980), 96-98. | MR 571727 | Zbl 0408.12017

[W] W.C. Waterhouse, Principal homogeneous spaces and Group scheme extensions, Trans. A.M.S. 153 (1971), 181-189. | MR 269659 | Zbl 0208.48401