Hausdorff dimension of the second Grigorchuk group

Noce, Marialaura and Thillaisundaram, Anitha (2021) Hausdorff dimension of the second Grigorchuk group. International Journal of Algebra and Computation . ISSN 0218-1967

Full content URL: https://doi.org/10.1142/S0218196721400038

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Hausdorff dimension of the second Grigorchuk group
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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.

Keywords:Groups acting on trees, branch groups, Hausdorff dimension
Subjects:G Mathematical and Computer Sciences > G110 Pure Mathematics
Divisions:College of Science > School of Mathematics and Physics
ID Code:43116
Deposited On:20 Jan 2021 10:08

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