Abstract
Let \({\mathcal {C}}\) be a class of finite groups. We study some sufficient conditions for the pro-\({\mathcal {C}}\) completion of an orientable \(\text{ PD }^3\)-pair over \(\mathbb {Z}\) to be an orientable profinite \(\text{ PD }^3\)-pair over \(\mathbb {F}_p\). More results are proven for the pro-\(p\) completion of \(\text{ PD }^3\)-pairs.
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Communicated by J. S. Wilson.
Partially supported by “bolsa de produtividade em pesquisa” from CNPq, Brazil.
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Kochloukova, D.H. Pro-\(\mathcal {C}\) completions of orientable \(\text{ PD }^3\)-pairs. Monatsh Math 175, 367–384 (2014). https://doi.org/10.1007/s00605-013-0578-y
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DOI: https://doi.org/10.1007/s00605-013-0578-y