Hausdorff dimension of the second Grigorchuk group

2019/10/31 by Noce, Marialaura, Thillaisundaram, Anitha
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.14518

Abstract

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 and that its automorphism group equals its normaliser in the full automorphism group of the tree.

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