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Type: Artigo de Periódico
Title: Pro-p Completions Of Groups Of Cohomological Dimension 2
Author: Kochloukova
Abstract: We study when an abstract finitely presented group G of cohomological dimension cd(G) = 2 has pro-p completion (G) over cap (p) of cohomological dimension cd((G) over cap (p)) <= 2. Furthermore, we prove that for a tree hyperbolic limit group G we have cd((G) over cap (p)) <= 2 and show an example of a hyperbolic limit group G that is not free and (G) over cap (p) is free pro-p. For a finitely generated residually free group G that is not a limit group, we show that (G) over cap (p) is not free pro-p.
Subject: Pro-p Completion
Cohomological Dimension
Limit Group
Citation: International Journal Of Algebra And Computation. WORLD SCIENTIFIC PUBL CO PTE LTD, n. 26, n. 3, p. 551 - 564.
Rights: fechado
Identifier DOI: 10.1142/S0218196716500235
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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