Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/62115
Type: Artigo
Title: Normal subgroups of profinite groups of finite cohomological dimension
Author: Engler, A.
Haran, D.
Kochloukova, D.
Zalesskii, P. A.
Abstract: A profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N is studied. If G is pro-p and N is either free as a pro-p group or a Poincare group of dimension 2 or analytic pro-p, it is shown that G/N has virtually finite cohomological dimension cd(G) - cd(N). Some other cases when G/N has virtually finite cohomological dimension are also considered. If G is profinite, the case of N projective or the profinite completion of the fundamental group of a compact surface is considered.
A profinite group G of finite cohomological dimension with (topologically) finitely generated closed normal subgroup N is studied. If G is pro-p and N is either free as a pro-p group or a Poincare group of dimension 2 or analytic pro-p, it is shown that G
Subject: Conjectura de Poincaré
Isomorfismos (Matemática)
Teoria dos grupos
Grupos abelianos
Country: Inglaterra
Editor: Wiley
Citation: Journal Of The London Mathematical Society-second Series. London Math Soc, v. 69, n. 317, n. 332, 2004.
Rights: Fechado
Identifier DOI: 10.1112/S0024610703005003
Address: https://academic.oup.com/jlms/article/69/2/317/904956
Date Issue: 2004
Appears in Collections:IMECC - Artigos e Outros Documentos

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