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 $\Psi$ and let $f:M \to M$ be a continuous map. The averaging formula for Nielsen numbers
N(f) = \frac{1}{\lvert\Psi\rvert} \sum_{A \in \Psi} \lvert\det(A_{*}-f_{*})\rvert
is proved. This is a workable formula for the difficult number $N(f)$.
Citation
Jong Bum Lee. Kyung Bai Lee. "Averaging formula for Nielsen numbers of maps on infra-solvmanifolds of type (R)." Nagoya Math. J. 196 117 - 134, 2009.
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