Abstract
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.
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The authors would like to thank the anonymous referee for the careful reading of the paper and pointing out some inaccuracies and misprints.
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Deconinck, C., Dekimpe, K. Nielsen numbers of affine n-valued maps on nilmanifolds. J. Fixed Point Theory Appl. 25, 84 (2023). https://doi.org/10.1007/s11784-023-01087-3
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DOI: https://doi.org/10.1007/s11784-023-01087-3