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arXiv · 1910.14518

Hausdorff dimension of the second Grigorchuk group

Marialaura Noce·Anitha Thillaisundaram
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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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Marialaura Noce, Anitha Thillaisundaram. 2019-10-31. Hausdorff dimension of the second Grigorchuk group. https://arxiv.org/abs/1910.14518

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