Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Abstract

We develop the Reidemeister theory of iterations of a group endomorphism $\phi$ and study the asymptotic behavior of the sequence of the Reidemeister numbers of iterations $\{R({\phi }^k)\}$, the essential periodic $[\phi ]$-orbits and the heights of $\phi$ on poly-Bieberbach groups.

arXiv comment27 pages v.2 : Theorems 4.2, 4.5, 7.1, 9.2 are corrected; made a few other minor changes in chapter 7; new references are added. arXiv admin note: substantial text overlap with arXiv:1403.7631

References in corpus (1)

• Nielsen zeta functions for maps on infra-nilmanifolds are rational