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math.GR2019
Engel elements in weakly branch groups
Gustavo A. Fernández-Alcober, Marialaura Noce, Gareth M. Tracey
We study properties of Engel elements in weakly branch groups, lying in the group of automorphisms of a spherically homogeneous rooted tree. More precisely, we prove that the set o…
math.GR2019
Hausdorff dimension of the second Grigorchuk group
Marialaura Noce, Anitha Thillaisundaram
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is 43/128. Furthermore we establish that the second Grigorchuk group is super strongly fractal an…