Hausdorff dimension of the second Grigorchuk group

2021 | journal article. A publication with affiliation to the University of Göttingen.

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​Hausdorff dimension of the second Grigorchuk group​
Noce, M. & Thillaisundaram, A.​ (2021) 
International Journal of Algebra and Computation31(06) pp. 1037​-1047​.​ DOI: https://doi.org/10.1142/S0218196721400038 

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Authors
Noce, Marialaura; Thillaisundaram, Anitha
Abstract
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is [Formula: see text]. Furthermore, we establish that the second Grigorchuk group is super strongly fractal and that its automorphism group equals its normalizer in the full automorphism group of the tree.
We show that the Hausdorff dimension of the closure of the second Grigorchuk group is [Formula: see text]. Furthermore, we establish that the second Grigorchuk group is super strongly fractal and that its automorphism group equals its normalizer in the full automorphism group of the tree.
Issue Date
2021
Journal
International Journal of Algebra and Computation 
Organization
Mathematisches Institut 
ISSN
0218-1967
eISSN
1793-6500
Language
English

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