Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)

Abstract

We prove that the averaging formula for Nielsen numbers holds for continuous maps on infra-solvmanifolds of type (R): Let M be such a manifold with holonomy group Ψ and let f: M → M be a continuous map. The averaging formula for Nielsen numbers is proved. This is a workable formula for the difficult number N(f) .