The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
The theme of this paper is a study of the Reidemeister zeta function, which is a kind of zeta function appearing in the study of a continuous map on a connected compact polyhedron. The author proves rationality and functional equations of the Reidemeister zeta function of an endomorphism of finite groups. Then he obtains the same results for eventually commutative endomorphisms. These results are applied to the theory of Reidemeister and the Nielsen number of self-maps of topological spaces.
scientific article; zbMATH DE number 682604
scientific article