Reidemeister theory of iterations of endomorphisms and poly-Bieberbach   groups
  We develop the Reidemeister theory of iterations of a group endomorphism $\varphi$ and study the asymptotic behavior of the sequence of the Reidemeister numbers of iterations $\{R(\varphi^k)\}$, the essential periodic $[\varphi]$-orbits and the heights of $\varphi$ on poly-Bieberbach groups. 
Alexander Fel'shtyn and Jong Bum Lee
math.GR math.DS