Self-similar products of groups

  • Laurent Bartholdi

    Ecole Normale Supérieure, Paris, France and Universität Göttingen, Germany
  • Said N. Sidki

    University of Brasilia, Brazil
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We address the problem of determining the class of self-similar groups, and in particular its closure under restricted direct products. We show that the group is self-similar, that is self-similar whenever is, and that permutational wreath products of a finite abelian group with a self-similar group are self-similar.

Cite this article

Laurent Bartholdi, Said N. Sidki, Self-similar products of groups. Groups Geom. Dyn. 14 (2020), no. 1, pp. 107–115

DOI 10.4171/GGD/536