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|Title:||Pro-p Completions Of Groups Of Cohomological Dimension 2|
|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.|
|Editor:||World Scientific Publ CO PTE LTD|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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