Plongements kummériens dans les ℤ p -extensions

Georges Gras

Compositio Mathematica (1985)

  • Volume: 55, Issue: 3, page 383-396
  • ISSN: 0010-437X

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Gras, Georges. "Plongements kummériens dans les $\mathbb {Z}_p$-extensions." Compositio Mathematica 55.3 (1985): 383-396. <http://eudml.org/doc/89726>.

@article{Gras1985,
author = {Gras, Georges},
journal = {Compositio Mathematica},
keywords = {maximal Kummerian subextension; -extensions; p-adic logarithm; Artin group; set of generators; p-power residue symbol; Kummer theory; generators of the 2-class group; examples},
language = {fre},
number = {3},
pages = {383-396},
publisher = {Martinus Nijhoff Publishers},
title = {Plongements kummériens dans les $\mathbb \{Z\}_p$-extensions},
url = {http://eudml.org/doc/89726},
volume = {55},
year = {1985},
}

TY - JOUR
AU - Gras, Georges
TI - Plongements kummériens dans les $\mathbb {Z}_p$-extensions
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 3
SP - 383
EP - 396
LA - fre
KW - maximal Kummerian subextension; -extensions; p-adic logarithm; Artin group; set of generators; p-power residue symbol; Kummer theory; generators of the 2-class group; examples
UR - http://eudml.org/doc/89726
ER -

References

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  1. [1] F. Bertrandias et J.-J. Payan: Γ-extensions et invariants cyclotomiques. Ann. Sci. Ec. Norm. Sup.5 (1972) 517-543. Zbl0246.12005
  2. [2] J.E. Carroll: On the 2 - primary part of K2O and on Z2- extensions for imaginary quadratic fields, Ph. D. Harvard (1973). 
  3. [3] J.E. Carroll: On determining the quadratic subfields of Z 2-extensions of complex quadratic fields. Comp. Math.303 (1975) 259-271. Zbl0314.12005MR374082
  4. [4] J.E. Carroll and H. Kisilevsky: Initial layers of Z l-extensions of complex quadratic fields. Comp. Math.322 (1976) 157-168. Zbl0357.12003MR406970
  5. [5] G. Gras: Logarithme p-adique et groupes de Galois. Journal de Crelle343 (1983) 64-80. Zbl0501.12015MR705877
  6. [6] G. Gras: Sur les Z 2-extensions d'un corps quadratique imaginaire. Ann. Inst. Fourier334 (1983) 1-18. Zbl0501.12016MR727521
  7. [7] R. Greenberg: A note on K2 and the theory of Z p-extensions. Amer. J. Math.1006 (1978) 1235-1245. Zbl0408.12012MR522698
  8. [8] K. Kramer and A. Candiotti: On K2 and Z l-extensions of number fields. Amer. J. Math.1001 (1978) 177-196. Zbl0388.12004MR485369
  9. [9] J.-P. Serre: Corps locaux. Hermann (1962). Zbl0137.02601MR354618
  10. [10] J. Tate: Relations between K2 and Galois cohomology. Invent. Math.36 (1976) 257-274. Zbl0359.12011MR429837

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