Abstract: | A group Γ has type F Pn if a trivial ℤΓ-module ℤ has a projective resolution P:…Pn → … → P1 → P0 → ℤ in which ℤΓ-module Pn,…P1, P0 are finitely generated. Let the finitely generated group Γ be a split extension of the Abelian group M by an Abelian group
Q, suppose M is torsion free, and assume Γ∈F Pm, m≥2. Then the invariant ∑
c
M
is m-tame.
Translated fromAlgebra i Logika, Vol. 36, No. 2, pp. 194–218, March–April, 1997. |