On the LS-category of homomorphism of almost nilpotent groups.

We prove the equality cat (ϕ) = cd (ϕ) for epimorphisms ϕ : Γ → Λ between torsion-free, finitely generated almost nilpotent groups Γ and Λ. In addition, we prove the equality cat (ϕ) = cd (ϕ) for homomorphisms ϕ : Γ → Λ between torsion-free, finitely generated virtually nilpotent groups. [ABSTRACT FROM AUTHOR]