The Cohomology of Pro-p-Groups with Group Ring Coefficients and Virtual Poincare Duality

摘要

The relationship between the group-theoretic properties of a pro-p-group G and the G-module structure of the group 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 are also obtained.