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

• Jone Uria-Albizuri ^[1]
  1. [1] Universidad del País Vasco/Euskal Herriko Unibertsitatea

     Universidad del País Vasco/Euskal Herriko Unibertsitatea

     Leioa, España

     
• Localización: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques, ISSN-e 2385-4227, Vol. 2, Nº. 1, 2016, págs. 33-44
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen
  • català

    L'objectiu d'aquest article és discutir i aclarir la noció de fractalitat per a subgrupsdel grup d'automorfismes d'un arbre arrelat i regular. Per això, definim tres tipusde fractalitat i demostrem, donant contraexemples, que no són equivalents. Tambépresentem alguns resultats que ajuden a determinar el tipus de fractalitat d'ungrup donat.

  • English

    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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