Nielsen numbers of affine n-valued maps on nilmanifolds.

Autor: Deconinck, C., Dekimpe, K.
Zdroj: Journal of Fixed Point Theory & Applications; Dec2023, Vol. 25 Issue 4, p1-29, 29p
Abstrakt: A nilmanifold is a quotient of a connected and simply connected nilpotent Lie group G by a uniform lattice N. In this paper, we determine the Reidemeister and Nielsen number of affine n-valued maps on such a nilmanifold. These are maps for which a given lifting to G splits into n affine maps of the Lie group G. To obtain this result we also establish a way of computing the number of generalized twisted conjugacy classes on finitely generated torsion-free nilpotent groups. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index