2 citations · 3 across the 3 of their papers we have counts for
4 papers
Nielsen periodic point theory on infra-nilmanifolds
Gert-Jan Dugardein
In this paper, we expand certain aspects of Nielsen periodic point theory from tori and nilmanifolds to infra-nilmanifolds. We show that infra-nilmanifolds are essentially reducibl…
A note on homotopy minimal periods for hyperbolic maps on infra-nilmanifolds
Karel Dekimpe, Gert-Jan Dugardein
In this paper, we show that for every non-nilpotent hyperbolic map on an infra-nilmanifold, the is cofinite in . This generalizes a similar resul…
Nielsen zeta functions on infra-nilmanifolds up to dimension three
Gert-Jan Dugardein
In this paper, we will list all possible self-maps on infra-nilmanifolds up to dimension three and we will give the Nielsen zeta function for any of those maps.
Nielsen zeta functions for maps on infra-nilmanifolds are rational
Karel Dekimpe, Gert-Jan Dugardein
In this paper we will show that for any map on an infra-nilmanifold, the Nielsen number of this map is either equal to , where is the Lefschetz number of…