Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations

Let us consider a compact orientable manifold M and (f,g) a pair of selfmaps of M. When M belongs to a nilpotent class of compact manifolds, so in particular if M is a nilmanifold. we establish relations among N(f,g), #R[f,g], coin(f#,g#), and Λ(f,g). Such relations are well known for tori. Finally, we extend the results for spaces E which are locally trivial nilpotent fibrations which fibre over a nilmanifold with certain fibers.