Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Alexander Fel'shtyn; Jong Bum Lee

Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Group Theory 2016-08-02 v2 Dynamical Systems

Authors: Alexander Fel'shtyn , Jong Bum Lee

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.

Keywords

Reidemeister theory iterations of endomorphisms poly-Bieberbach groups Reidemeister numbers asymptotic behavior essential periodic orbits height

Cite

@article{arxiv.1412.4524,
  title  = {Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups},
  author = {Alexander Fel'shtyn and Jong Bum Lee},
  journal= {arXiv preprint arXiv:1412.4524},
  year   = {2016}
}

Comments

27 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

Reidemeister theory of iterations of endomorphisms and poly-Bieberbach groups

Abstract

Keywords

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