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math.AT2013★ 1 cited
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.
math.AT2013★ 2 cited
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…