Groups with the same cohomology as their profinite completions

被引：16
|
作者：
Lorensen, Karl [1 ]
机构：
[1] Penn State Univ, Dept Math, Altoona Coll, Altoona, PA 16601 USA
来源：
JOURNAL OF ALGEBRA | 2008年 / 320卷 / 04期
关键词：
profinite completions; good groups; HNN extensions; ascending HNN extensions; free products with amalgamation; residually finite groups; right-angled Artin groups;
D O I：
10.1016/j.jalgebra.2008.03.013
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For any positive integer n, A(n) is the class of all groups G such that, for 0 <= i <= n, H-i(((G) over cap, A) congruent to H-i (G, A) for every finite discrete (G) over cap -module A. We describe certain types of free products with amalgam and HNN extensions that are in some of the classes A(n). In addition, we investigate the residually finite groups in the class A(2). (c) 2008 Elsevier Inc. All rights reserved.
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页码：1704 / 1722
页数：19
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