Abstract
We give a practical criterion to determine whether a given pair of morphisms between almost-crystallographic groups has a finite Reidemeister coincidence number. As an application, we determine all two- and three-dimensional almost-crystallographic groups that have the R ∞ property. We also show that for a pair of continuous maps between oriented infra-nilmanifolds of equal dimension, the Nielsen coincidence number equals the Reidemeister coincidence number when the latter is finite.
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An erratum to this article can be found at http://dx.doi.org/10.1007/s11784-011-0059-7
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Dekimpe, K., Penninckx, P. The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. J. Fixed Point Theory Appl. 9, 257–283 (2011). https://doi.org/10.1007/s11784-011-0043-2
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DOI: https://doi.org/10.1007/s11784-011-0043-2