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Type: Artigo de periódico
Title: Normal subgroups of profinite groups of finite cohomological dimension
Author: Engler, A
Haran, D
Kochloukova, D
Zalesskii, PA
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.
Country: Inglaterra
Editor: London Math Soc
Rights: fechado
Identifier DOI: 10.1112/S0024610703005003
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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