On the concept of fractality for groups of automorphisms of a regular rooted tree

Authors

  • Jone Uria-Albizuri University of the Basque Country, UPV/EHU, Department of Mathematics.

Keywords:

Rooted tree, automorphism, fractal

Abstract

The aim of this article is to discuss and clarify the notion of fractality for subgroups of the group of automorphisms of a regular rooted tree. For this purpose, we dene three types of fractality. We show that they are not equivalent, by giving explicit counter-examples. Furthermore, we present some tools that are helpful in order to determine the fractality of a given group.

 

 

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Published

2016-04-19

How to Cite

Uria-Albizuri, J. (2016). On the concept of fractality for groups of automorphisms of a regular rooted tree. Reports@SCM, 2(1), 33–44. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/139172

Issue

Vol. 2 No. 1 (2016)

Section

Articles

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