Analytic pro-p groups of small dimensions
نویسندگان
چکیده
منابع مشابه
COHOMOLOGY OF NUMBER FIELDS AND ANALYTIC PRO-p-GROUPS
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...
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In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D = D(G) that just depends on G such that for any o...
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متن کاملSOME NOTES ON COHOMOLOGY OF NUMBER FIELDS AND ANALYTIC PRO-p-GROUPS by
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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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2009
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgt.2009.006