Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Published 15 Dec 2014 in math.GR and math.DS | (1412.4524v2)

Abstract: 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.

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