The cohomology of pro-p-groups with group ring coefficients and virtual Poincare duality

被引：2

作者：

Korenev, AA ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220050, BELARUS

来源：

MATHEMATICAL NOTES | 2005年 / 78卷 / 5-6期

关键词：

pro-p-group; Poincare subgroup; cohomological dimension; number of ends; free resolution; projective module; local ring;

D O I：

10.1007/s11006-005-0184-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The relationship between the group-theoretic properties of a pro-p-group G and the G-module structure of the group H-n(G, F-q[[G]]) is studied. A necessary and sufficient condition for a pro-p-group G to contain an open Poincare subgroup of dimension n is obtained. This condition does not require that G have finite cohomological dimension and, therefore, applies to groups with torsion. Results concerning the possible values of dim(Fp) H-n (G, F-p [[G]]) are also obtained.

引用

页码：791 / 800

页数：10

共 7 条

[1] POINCARE DUALITY AND GROUPS OF TYPE (FP) [J].