A bounding question for almost flat manifolds

We study bounding question for almost at manifolds by looking at the equiva lent description of them as infranilmanifolds Gamma \L x G/G. We show that infranilmanifolds Gamma /L x G/G bound if L is a 2-step nilpotent group and G is finite cyclic and acts trivially on the center of the nilpotent Lie g roup L.