Self-similar products of groups
Laurent Bartholdi
Ecole Normale Supérieure, Paris, France and Universität Göttingen, GermanySaid N. Sidki
University of Brasilia, Brazil
Abstract
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