Nielsen numbers of $n$-valued maps on infra-solvmanifolds

Abstract

We derive a formula for the Nielsen number $N(f)$ for every $n$-valued self-map $f$ of an infra-solvmanifold. To do this, we express $N(f)$ in terms of Nielsen coincidence numbers of single-valued maps on solvmanifolds, and derive a formula for Nielsen coincidence numbers in that setting.

26 pages

References in corpus (2)

• An averaging formula for Nielsen numbers of affine n-valued maps on infra-nilmanifolds
• Averaging formulas for the Reidemeister trace, Lefschetz and Nielsen numbers of $n$-valued maps