Pro-p completions of groups of cohomological dimension 2

被引：1
|
作者：
Kochloukova, Dessislava H. [1 ]
机构：
[1] State Univ Campinas UNICAMP, Dept Math, BR-13083859 Campinas, SP, Brazil
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2016年 / 26卷 / 03期
关键词：
Pro-p completion; cohomological dimension; limit group; POINCARE-DUALITY GROUPS; DIOPHANTINE GEOMETRY; ELEMENTARY THEORY; GROUPS I; PROFINITE;
D O I：
10.1142/S0218196716500235
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：551 / 564
页数：14
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