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Type: Artigo de periódico
Author: Kochloukova, DH
Pinto, AGS
Abstract: For a prime number p let G be a profinite p-PD(n) group with a closed normal subgroup N such that G/N is a profinite p-PD(m) group and that H(i)(V,F(p)) is finite for every open subgroup V of N and all i <= [n/2]. Generalising [12, Thm. 3.7.4] we show that m <= n and N is a profinite p-PD(n-m) group. In case that G is a pro-p PD(n) group of Euler characteristic 0 with a closed normal subgroup N of type FP([n-1/2]) such that G/N is soluble-by-finite pro-p group of finite rank, we show that N is a pro-p PD(n-m) group, where m = vcd(p)(G/N). As a corollary we obtain that a pro-p PD(3) group with infinite abelianization is either soluble or contains a free nonprocyclic pro-p subgroup.
Country: Israel
Editor: Hebrew Univ Magnes Press
Citation: Israel Journal Of Mathematics. Hebrew Univ Magnes Press, v. 173, n. 1, n. 367, n. 377, 2009.
Rights: fechado
Identifier DOI: 10.1007/s11856-009-0096-8
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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