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|Type:||Artigo de periódico|
|Title:||Normal subgroups of profinite groups of finite cohomological dimension|
|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.|
|Editor:||London Math Soc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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