Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/67151
Type: Artigo
Title: Free-by-demushkin pro-p groups
Author: Kochloukova, Dessislava H.
Zalesskii, Pavel
Abstract: 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 H 2 (S/N, Z/(p(n))) -> H-2(S, Z/(P-n)) is an isomorphism but G is not a free pro-p product of a free pro-p group by a Demushkin group. This is a group theoretic version of a question raised by T. Wurfel for some special Galois 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
Subject: Teoria dos grupos
Cohomologia (Matemática)
Isomorfismos (Matemática)
Teoria de Galois
Country: Alemanha
Editor: Springer
Citation: Mathematische Zeitschrift. Springer, v. 249, n. 4, n. 731, n. 739, 2005.
Rights: Fechado
Identifier DOI: 10.1007/s00209-004-0720-6
Address: https://link.springer.com/article/10.1007/s00209-004-0720-6
Date Issue: 2005
Appears in Collections:IMECC - Artigos e Outros Documentos

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