Self-similar products of groups
/ Authors
/ 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 $\mathbb Z^{(\omega)}$ is self-similar, that $G^{(\omega)}\rtimes C_2$ is self-similar whenever $G$ is, and that permutational wreath products of a finite abelian group with a self-similar group are self-similar.
Journal: Groups, Geometry, and Dynamics
DOI: 10.4171/ggd/536