Generalization of the Moore exact sequence and the wild kernel for higher K-groups

Grzegorz Banaszak

Compositio Mathematica (1993)

  • Volume: 86, Issue: 3, page 281-305
  • ISSN: 0010-437X

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Banaszak, Grzegorz. "Generalization of the Moore exact sequence and the wild kernel for higher K-groups." Compositio Mathematica 86.3 (1993): 281-305. <http://eudml.org/doc/90222>.

@article{Banaszak1993,
author = {Banaszak, Grzegorz},
journal = {Compositio Mathematica},
keywords = {higher -groups; higher analogue of Moore's exact sequence; wild kernel; group of infinitely divisible elements; Stickelberger ideal},
language = {eng},
number = {3},
pages = {281-305},
publisher = {Kluwer Academic Publishers},
title = {Generalization of the Moore exact sequence and the wild kernel for higher K-groups},
url = {http://eudml.org/doc/90222},
volume = {86},
year = {1993},
}

TY - JOUR
AU - Banaszak, Grzegorz
TI - Generalization of the Moore exact sequence and the wild kernel for higher K-groups
JO - Compositio Mathematica
PY - 1993
PB - Kluwer Academic Publishers
VL - 86
IS - 3
SP - 281
EP - 305
LA - eng
KW - higher -groups; higher analogue of Moore's exact sequence; wild kernel; group of infinitely divisible elements; Stickelberger ideal
UR - http://eudml.org/doc/90222
ER -

References

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  2. [C] Coates, J.: p-adic L-functions and Iwasawa theory, in Algebraic Number Fields (Durham Symposium, 1975, ed. by A. Fröhlich), p. 269-353. Academic Press: London, 1977. Zbl0393.12027MR460282
  3. [C-L] Coates, J., Lichtenbaum, S.: On l-adic zeta functions, Annals of Math.98 (1973), 498-550. Zbl0279.12005MR330107
  4. [C-S] Coates, J., Sinnott, W.: An analogue of Stickelberger's theorem for higher K-groups, Invent. Math.24 (1974), 149-161. Zbl0282.12006MR369322
  5. [D-F] Dwyer, W., Friedlander, E.: Algebraic and étale K-theory, Transaction of the American Mathematical Society, v. 292, n. 1 (1985), 247-280. Zbl0581.14012MR805962
  6. [J] Jannsen, U.: Continuous étale cohomology, Math. Annalen280 (1988), 207-245. Zbl0649.14011MR929536
  7. [K] Kurihara, M.: Some remarks on conjectures about cyclotomic fields and K-groups of Z, Compositio Mathematica81 (1992), 223-236. Zbl0747.11055MR1145807
  8. [L] Lichtenbaum, S.: On the values of zeta and L-functions. I. Annals of Math.96 (1972), 338-360. Zbl0251.12002MR360527
  9. [Mil] Milnor, J.: Introduction to Algebraic K-theory, Princeton University Press, 1971. Zbl0237.18005MR349811
  10. [Q1] Quillen, D.: Higher algebraic K-theory. I, Lecture notes in mathematics341. Zbl0292.18004MR338129
  11. [Q2] Quillen, D.: On the cohomology and K-theory of the general linear groups over a finite field, Ann. of Math.96 (1972), 552-586. Zbl0249.18022MR315016
  12. [Sch] Schneider, P.: Über gewisse Galoiscohomologiegruppen, Mathematische Zeitschrift168 (1979), 181-205. Zbl0421.12024MR544704
  13. [S1] Soulé, C.: K-théorie des anneaux d'entiers de corps de nombres et cohomologie étale, Invent. Math.55 (1979), 251-295. Zbl0437.12008MR553999
  14. [S2] Soulé, C.: On higher p-adic regulators, algebraic K-theory, Lecture notes in mathematics854, Springer, New York, 1981, pp. 372-401. Zbl0488.12008MR618313
  15. [T] Tate, J.: Relations between K2 and Galois cohomology, Invent. Math.36 (1976), 257-274. Zbl0359.12011MR429837

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