Sur les normes universelles dans les Z p -extensions

Cornelius Greither

Journal de théorie des nombres de Bordeaux (1994)

  • Volume: 6, Issue: 2, page 205-220
  • ISSN: 1246-7405

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Greither, Cornelius. "Sur les normes universelles dans les $Z_p$-extensions." Journal de théorie des nombres de Bordeaux 6.2 (1994): 205-220. <http://eudml.org/doc/93601>.

@article{Greither1994,
author = {Greither, Cornelius},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {group of -units; existence of a norm map; Galois descent; rank on -extensions; universal norms},
language = {fre},
number = {2},
pages = {205-220},
publisher = {Université Bordeaux I},
title = {Sur les normes universelles dans les $Z_p$-extensions},
url = {http://eudml.org/doc/93601},
volume = {6},
year = {1994},
}

TY - JOUR
AU - Greither, Cornelius
TI - Sur les normes universelles dans les $Z_p$-extensions
JO - Journal de théorie des nombres de Bordeaux
PY - 1994
PB - Université Bordeaux I
VL - 6
IS - 2
SP - 205
EP - 220
LA - fre
KW - group of -units; existence of a norm map; Galois descent; rank on -extensions; universal norms
UR - http://eudml.org/doc/93601
ER -

References

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  3. [3] J.-F. Jaulent, Noyau universel et valeurs absolues, Journées arithmétiques de Luminy, Astérisque198-200 (1990), 187-209. Zbl0756.11033MR1144323
  4. [4] B. Kahn, Descente galoisienne et K2 des corps de nombres, K-theory7 (1993), 55-100. Zbl0780.12007MR1220427
  5. [5] F. Keune, On the structure of the K2 of the rings of integers in a number field, K-theory2 (1989), 625-645. Zbl0705.19007MR999397
  6. [6] J.M. Kim, S. Bae et I. Lee, Cyclotomic units in Zp-extensions, Israel J. Math.75 (1991), 161-165. Zbl0765.11042MR1164588
  7. [7] M. Kolster, An idelic approach to the wild kernel, Invent. Math.103 (1991), 9-24. Zbl0724.11056MR1079838
  8. [8] L.V. Kuz'min, The Tate module for algebraic number fields, Math. USSR Izv.6(2) (1972), 263-321. Zbl0257.12003MR304353
  9. [9] M. Levine, The indecomposable K3 of a field, Ann. Sci. Ecole Norm. Sup22 (1989), 255-344. Zbl0705.19001MR1005161
  10. [10] A.S. Merkur'ev et A.A. Suslin, The group K3 of a field, Math. USSR Izv.36 (1990), 541-565. Zbl0725.19003MR1072694
  11. [11] E. de Shalit, A note on norm-coherent units in certain Zp-extensions, Algebraic number theory in honor of K. Iwasawa, Advanced Studies in Pure Math.17 (1989), 83-87. Zbl0731.11060
  12. [12] W. Sinnott, On the Stilckelberger ideal and the circular units of an abelian field, Invent. Math62 (1980), 181-234. Zbl0465.12001MR595586
  13. [13] W. Sinnott, Appendice à :Regulators and Iwasawa modules, par L. J. Federer et B. H. Gross, Invent. Math.62 (1981), 443-457. Zbl0468.12005MR604838
  14. [14] D. Solomon, On a construction of p-units in abelian fields, Invent. Math.109 (1992), 329-350. Zbl0772.11043MR1172694

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