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Hausdorff dimension of the second Grigorchuk group

Noce, Marialaura and Thillaisundaram, Anitha LU (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:
author
and
publishing date
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
2025-04-04 15:29:59
@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}},
}