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Izv. RAN. Ser. Mat., 1998, Volume 62, Issue 5, Pages 3–48 (Mi izv207)  

This article is cited in 7 scientific papers (total in 7 papers)

A ramification filtration of the Galois group of a local field. III

V. A. Abrashkin

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Let $K$ be a complete discrete valuation field of characteristic $p>0$ with a finite residue field and let $\Gamma(p)$ be the Galois group of its maximal $p$-extension. The main result of this paper describes the image of the ramification filtration of the Galois group of the field $K$ in $\Gamma(p)$ modulo its subgroup of commutators of weight $\geqslant p$ in terms of the generators of the group $\Gamma(p)$.

DOI: https://doi.org/10.4213/im207

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English version:
Izvestiya: Mathematics, 1998, 62:5, 857–900

Bibliographic databases:

MSC: 11S15, 11S20
Received: 19.09.1996

Citation: V. A. Abrashkin, “A ramification filtration of the Galois group of a local field. III”, Izv. RAN. Ser. Mat., 62:5 (1998), 3–48; Izv. Math., 62:5 (1998), 857–900

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Abrashkin V., “Galois modules arising from Faltings's strict modules”, Compositio Mathematica, 142:4 (2006), 867–888  crossref  mathscinet  zmath  isi  scopus  scopus
    2. Abrashkin, V, “Characteristic p Analogue of Modules with Finite Crystalline Height”, Pure and Applied Mathematics Quarterly, 5:1 (2009), 469  crossref  mathscinet  zmath  isi  scopus
    3. Abrashkin V., “Ramification Estimate For Fontaine-Laffaille Galois Modules”, J. Algebra, 427 (2015), 319–328  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    4. Abrashkin V., “Groups of Automorphisms of Local Fields of Period P and Nilpotent Class < P, II”, Int. J. Math., 28:10 (2017), 1750066  crossref  mathscinet  zmath  isi  scopus  scopus
    5. Abrashkin V., “Groups of Automorphisms of Local Fields of Period P and Nilpotent Class < P, i”, Int. J. Math., 28:6 (2017), 1750043  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Abrashkin V., “Groups of Automorphisms of Local Fields of Period P(M) and Nilpotent Class < P”, Ann. Inst. Fourier, 67:2 (2017), 605–635  crossref  mathscinet  zmath  isi  scopus
    7. V. A. Abrashkin, “Ramification filtration via deformations”, Sb. Math., 212:2 (2021), 135–169  mathnet  crossref  crossref  mathscinet  isi  elib
  • Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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