Sur la ramification des extensions de Lie

François Laubie

Compositio Mathematica (1985)

  • Volume: 55, Issue: 2, page 253-262
  • ISSN: 0010-437X

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Laubie, François. "Sur la ramification des extensions de Lie." Compositio Mathematica 55.2 (1985): 253-262. <http://eudml.org/doc/89718>.

@article{Laubie1985,
author = {Laubie, François},
journal = {Compositio Mathematica},
keywords = {Lie extension; local field; p-adic Lie group; filtration by ramification; pro-p-group; Galois group},
language = {fre},
number = {2},
pages = {253-262},
publisher = {Martinus Nijhoff Publishers},
title = {Sur la ramification des extensions de Lie},
url = {http://eudml.org/doc/89718},
volume = {55},
year = {1985},
}

TY - JOUR
AU - Laubie, François
TI - Sur la ramification des extensions de Lie
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 55
IS - 2
SP - 253
EP - 262
LA - fre
KW - Lie extension; local field; p-adic Lie group; filtration by ramification; pro-p-group; Galois group
UR - http://eudml.org/doc/89718
ER -

References

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  1. [1] J.-M. Fontaine et J.-P. Wintenberger: Le "corps des normes" de certaines extensions algébriques de corps locaux. C.R. Acad. Sc. Paris série A288 (1979) 367-370. Zbl0475.12020MR526137
  2. [2] F. Laubie: Groupes de ramification et corps résiduels. Bull. Sc. Math.2ème série105 (1981) 309-320. Zbl0468.12009MR629714
  3. [3] M. Lazard: Groupes analytiques p-adiques. publication Math. IHES26 (1965). Zbl0139.02302MR209286
  4. [4] M.A. Marshall: Ramification groups of Abelian local field extensions. Can. J. Math.232 (1971) 184-203. Zbl0211.06704MR274424
  5. [5] T. Nguyen Quang D: Sur la structure galoisienne des corps locaux et la théorie d'Iwasawa. Compositio Math.46 (1982) 85-119. Zbl0481.12004MR660155
  6. [6] S. Sen: Ramification in p-adic Lie extensions, Inv. Math.17 (1972) 44-50. Zbl0242.12012MR319949
  7. [7] J.-P. Serre: CORPS LOCAUX. Paris: Hermann (1968) 22me éd. Zbl0137.02601MR354618
  8. [8] J.T. Tate: p-divisible groups, Proc. of a conference on local fields, Driebergen: Springer (1967) 158-183. Zbl0157.27601MR231827
  9. [9] J.-P. Wintenberger: Extensions de Lie et groupes d'automorphismes de corps locaux de caractéristique p.C.R. Acad Sc. Paris série A288 (1979) 367-370. Zbl0475.12020MR529480
  10. [10] B.F. Wyman: Wildly ramified gamma extensions. Amer. J. of Math.9 (1969) 135-152. Zbl0188.11003MR241386

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