Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

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

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