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arxiv: 1412.4524 · v2 · pith:QQ34ZVDRnew · submitted 2014-12-15 · 🧮 math.GR · math.DS

Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

classification 🧮 math.GR math.DS
keywords varphiiterationsreidemeistergroupspoly-bieberbachtheoryasymptoticbehavior
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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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