# Averaging formula for Nielsen numbers

Extra Form
강연자 이종범
소속 서강대학교
date 2009-10-29

We will show that the averaging formula for Nielsen numbers holds for continuous maps on infra-nilmanifolds: Let M be an infra-nilmanifold with a holonomy group Phi and f : M -> M be a continuous map. Then N(f ) = 1/| Phi | Sum_{A in Phi} | det(A_* ? f_*)|. Here, A_* and f_* are natural linear maps.

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