Analogues supérieurs du noyau sauvage

Thong Nguyen Quang Do

Journal de théorie des nombres de Bordeaux (1992)

  • Volume: 4, Issue: 2, page 263-271
  • ISSN: 1246-7405

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Nguyen Quang Do, Thong. "Analogues supérieurs du noyau sauvage." Journal de théorie des nombres de Bordeaux 4.2 (1992): 263-271. <http://eudml.org/doc/93563>.

@article{NguyenQuangDo1992,
author = {Nguyen Quang Do, Thong},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {-adic Chern characters; higher wild kernel; higher Stickelberger ideal},
language = {fre},
number = {2},
pages = {263-271},
publisher = {Université Bordeaux I},
title = {Analogues supérieurs du noyau sauvage},
url = {http://eudml.org/doc/93563},
volume = {4},
year = {1992},
}

TY - JOUR
AU - Nguyen Quang Do, Thong
TI - Analogues supérieurs du noyau sauvage
JO - Journal de théorie des nombres de Bordeaux
PY - 1992
PB - Université Bordeaux I
VL - 4
IS - 2
SP - 263
EP - 271
LA - fre
KW - -adic Chern characters; higher wild kernel; higher Stickelberger ideal
UR - http://eudml.org/doc/93563
ER -

References

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  1. [B1] G. Banaszak, Algebraic K-theory of number fields, rings of integers, and the Stickelberger ideal, Ann. of Math.135 (1992), 325-360. Zbl0756.11037MR1154596
  2. [B2] G. Banaszak, Generalization of the Moore exact sequence and the wild Kernel for higher K-groups, preprint (1992). 
  3. [C] J. Coates, On K2 and some classical conjectures in algebraic number theory, Ann. of Math.95 (1972), 99-116. Zbl0245.12005MR360523
  4. [C-S] J. Coates & W. Sinnott, An analogue of Stickelberger's theorem for the higher K-groups, Invent. math.24 (1974), 149-161. Zbl0282.12006MR369322
  5. [D-F] W. Dwyer & E. Friedlander, Algebraic and étale K-theory, Trans. Amer. Math. Soc.292, n°1 (1985), 247-280. Zbl0581.14012MR805962
  6. [H-S] B. Harris & G. Segal, Ki of rings of algebraic integers, Ann. of Math.101 (1975), 20-33. Zbl0331.18015MR387379
  7. [Ka] B. Kahn, Deux théorèmes de comparaison en cohomologie, applications, prépu blication (1991). 
  8. [Ku] M. Kurihara, Some remarks on conjectures about cyclotomic fields and K-groups of Z, Compos. Math.81 (1992), 223-236. Zbl0747.11055MR1145807
  9. [Le] M. Levine, The indecomposable K3 of a field, Ann. Sci. ENS22 (1989), 255-344. Zbl0705.19001MR1005161
  10. [Li] S. Lichtenbaum, Values of zeta functions, étale cohomology, and algebraic K-theory, in "Algebraic K-theory II", Springer Lecture Notes in Math., 342 (1973). Zbl0284.12005MR406981
  11. [M-S] A.S. Merkurjev & A.A. Suslin, On the K3 of a field, Math. USSR Izv.36 (1990), 541-565. Zbl0725.19003
  12. [Sc] P. Schneider, Über gewisse Galoiscohomologiegruppen, Math. Zeit.168 (1979), 181-205. Zbl0421.12024MR544704
  13. [So] C. Soulé, K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Invent. math.55 (1979), 251-295. Zbl0437.12008MR553999
  14. [T] J. Tate, Relations between K2 and Galois cohomology, Invent. math.36 (1976), 257-274. Zbl0359.12011MR429837
  15. [W] A. Wiles, The Iwasawa conjecture for totally real fields, Ann. of Math.131 (1990), 493-540. Zbl0719.11071MR1053488

Citations in EuDML Documents

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  1. Jilali Assim, Analogues étales de la p -tour des corps de classes
  2. Thong Nguyen Quang Do, Conjecture principale équivariante, idéaux de Fitting et annulateurs en théorie d’Iwasawa
  3. Romain Validire, Capitulation for even K -groups in the cyclotomic p -extension.
  4. Manfred Kolster, Abbas Movahhedi, Galois co-descent for étale wild kernels and capitulation
  5. Denis Benois, Thong Nguyen Quang Do, Les nombres de Tamagawa locaux et la conjecture de Bloch et Kato pour les motifs Q(m) sur un corps abélien

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