Profinite completions of orientable Poincare duality groups of dimension four and Euler characteristic zero

被引:0
|
作者
Kochloukova, Dessislava H. [1 ]
机构
[1] Univ Estadual Campinas, UNICAMP, Dept Math, BR-13083970 Campinas, SP, Brazil
关键词
Poincare duality group; profinite completion; p-good group; PRO-P-GROUPS; COHOMOLOGY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let p be a prime number, T a class of finite groups closed under extensions, subgroups and quotients, and suppose that the cyclic group of order p is in T. We find some sufficient and necessary conditions for the pro- T completion of an abstract orientable Poincare duality group G of dimension 4 and Euler characteristic 0 to be a profinite orientable Poincare duality group of dimension 4 at the prime p with Euler p-characteristic 0. In particular we show that the pro- p completion (G) over cap (p) of G is an orientable Poincare duality pro- p group of dimension 4 and Euler characteristic 0 if and only if G is p-good.
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页码:401 / 421
页数:21
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