Hausdorff dimension of the second Grigorchuk group
(2021) In International Journal of Algebra and Computation 31(6).- 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 normalizer in the full automorphism group of the tree.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/0fba990a-fe8e-47f3-8668-1786cdb691bc
- author
- Noce, Marialaura and Thillaisundaram, Anitha LU
- publishing date
- 2021
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Journal of Algebra and Computation
- volume
- 31
- issue
- 6
- publisher
- World Scientific Publishing
- external identifiers
-
- scopus:85108198215
- ISSN
- 0218-1967
- DOI
- 10.1142/S0218196721400038
- language
- English
- LU publication?
- no
- id
- 0fba990a-fe8e-47f3-8668-1786cdb691bc
- date added to LUP
- 2024-06-07 14:18:24
- date last changed
- 2024-08-07 09:56:04
@article{0fba990a-fe8e-47f3-8668-1786cdb691bc, 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 normalizer in the full automorphism group of the tree.}}, author = {{Noce, Marialaura and Thillaisundaram, Anitha}}, issn = {{0218-1967}}, language = {{eng}}, number = {{6}}, publisher = {{World Scientific Publishing}}, series = {{International Journal of Algebra and Computation}}, title = {{Hausdorff dimension of the second Grigorchuk group}}, url = {{http://dx.doi.org/10.1142/S0218196721400038}}, doi = {{10.1142/S0218196721400038}}, volume = {{31}}, year = {{2021}}, }