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2009 Averaging formula for Nielsen numbers of maps on infra-solvmanifolds of type (R)
Jong Bum Lee, Kyung Bai Lee
Nagoya Math. J. 196(none): 117-134 (2009).

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

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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.

Information

Published: 2009
First available in Project Euclid: 15 January 2010

zbMATH: 1234.55002
MathSciNet: MR2591093

Subjects:
Primary: ‎55M20, 57S30

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

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Vol.196 • 2009
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