منابع مشابه
Free-by-Demushkin pro-p groups
We give an example of a short exact sequence 1 → N → G → D → 1 of pro-p groups such that the cohomological dimension cd(G) = 2, G is (topologically) finitely generated, N is a free pro-p group of infinite rank, D is a Demushkin group, for every closed subgroup S of G containing N and any natural number n the inflation map H2(S/N,Z/(pn)) → H2(S,Z/(pn)) is an isomorphism but G is not a free pro-p...
متن کاملOn subdirect products of free pro-p groups and Demushkin groups of infinite depth
We study subdirect products of free and Demushkin pro-p groups of depth ∞ developing theory similar to the abstract case, see [4]. Furthermore we classify when a subdirect product has homological type FPm for some m ≥ 2, a problem still open for abstract groups for m ≥ 3.
متن کاملON AUTOMORPHISMS OF FREE PRO-p-GROUPS I
Let F be a (topologically) finitely generated free pro-p-group, and ß an automorphism of F . If p ^ 2 and the order of ß is 2 , then there is some basis of F such that ß either fixes or inverts its elements. If p does not divide the order of ß , then the subgroup of F of all elements fixed by ß is (topologically) infinitely generated; however this is not always the case if p divides the order o...
متن کاملDETECTING PRO - p - GROUPS 3
Let p be a prime. It is a fundamental problem to classify the absolute Galois groups GF of fields F containing a primitive pth root of unity. In this paper we present several constraints on such GF , using restrictions on the cohomology of index p normal subgroups from [LMS]. In section 1 we classify all maximal p-elementary abelian-by-order p quotients of these GF . In the case p > 2, each suc...
متن کاملComputing Pro-P Galois Groups
We describe methods for explicit computation of Galois groups of certain tamely ramified p-extensions. In the finite case this yields a short list of candidates for the Galois group. In the infinite case it produces a family or few families of likely candidates.
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2004
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-004-0720-6