Classification of odometers: a short elementary proof



Abstract

The paper deals with odometers (i.e. adding machines) of general type. We give a characterization of self-conjugacies of odometers which enables us to present an elementary proof of a classification of odometers given by Buescu and Stewart in [2]. The paper might also serve as a very quick introduction to odometers.


Keywords

odometer; conjugacy; self-conjugacy; classification

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T. Downarowicz, Survey of odometers and Toeplitz flows, in: S. Kolyada et al. (eds.), Algebraic and Topological Dynamics, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005, pp. 7–37.

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Published : 2022-05-28


HricR., & Výbošt’okM. (2022). Classification of odometers: a short elementary proof. Annales Mathematicae Silesianae, 36(2), 184-192. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13839

Roman Hric  roman.hric@umb.sk
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Slovakia  Slovakia
https://orcid.org/0000-0001-5901-726X
Miroslav Výbošt'ok 
Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Slovakia  Slovakia



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