Abstract
If G is a pro-p, p-adic, Lie group and if
Λ(G)
denotes the Iwasawa algebra of G then we present a formula for determining the
Λ(G)
-rank of a finitely generated
Λ(G)
-module. This is given in terms of the G homology groups of the module. We explore some consequences of this for the structure of
Λ(G)
-modules.