The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
type: Item
instance of: scholarly article
title: The Reidemeister zeta function with applications to Nielsen theory and a connection with Reidemeister torsion
zbMATH Open document ID: 0814.58033
DOI: 10.1007/BF00961408
author: Alexander Felshtyn
author: Richard M. Hill
published in: \(K\)-Theory
publication date: 1994-11-06T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 37C25
zbMATH DE Number: 682604
zbMATH Keywords: torsion
zbMATH Keywords: Reidemeister zeta function
zbMATH Keywords: Nielsen number
reviewed by: Masakazu Muro
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 682604