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

2016/04/20 by Jone Uria–Albizuri, Uria-Albizuri, Jone · 1 citation
Computer Science · Mathematics · #20E08 #Advanced Operator Algebra Research #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Group Theory (math.GR) #Mathematical Dynamics and Fractals #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1604.05950

openalex publication_date 2016/04/20 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

The aim of this article is to discuss and clarify the notion of fractality\nfor subgroups of the group of automorphisms of a regular rooted tree. For this\npurpose we define three types of fractality. We show that they are not\nequivalent, by giving explicit examples. Furthermore we present some tools that\nare helpful in order to determine the fractality of a given group.\n

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