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

  1. Jone Uria-Albizuri 1
  1. 1 University of the Basque Country, UPV/EHU, Department of Mathematics.
Aldizkaria:
Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques

ISSN: 2385-4227

Argitalpen urtea: 2016

Alea: 2

Zenbakia: 1

Orrialdeak: 33-44

Mota: Artikulua

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Beste argitalpen batzuk: Reports@SCM: an electronic journal of the Societat Catalana de Matemàtiques

Laburpena

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.

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