COHOMOLOGY OF NUMBER FIELDS AND ANALYTIC PRO-p-GROUPS
نویسنده
چکیده
In this work, we are interested in the tame version of the Fontaine–Mazur conjecture. By viewing the pro-p-proup GS as a quotient of a Galois extension ramified at p and S, we obtain a connection between the conjecture studied here and a question of Galois structure. Moreover, following a recent work of A. Schmidt, we give some evidence of links between this conjecture, the étale cohomology and the computation of the cohomological dimension of the pro-p-groups GS that appear. 2000 Math. Subj. Class. 11R37, 11R23.
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In this paper, we are interested in the tame version of the Fontaine-Mazur conjecture. After recalling the role of étale cohomology in the context of this conjecture, we establish a relationship between it and the computation of the cohomological dimension of the pro-p-groups GS that appear. We then look at this conjecture by viewing the pro-pproup GS as a quotient of a Galois group with rami c...
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