\(p\)-Basilica groups

DOI10.1007/s00009-022-02187-zOpenAlexW4307913105MaRDI QIDQ2682870

Gustavo A. Fernández-Alcober, Elena Di Domenico, Anitha Thillaisundaram, Marialaura Noce

Publication date: 1 February 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.12443

zbMATH Keywords

maximal subgroupsHausdorff dimensiongroups acting on rooted treesweakly branch groupscongruence subgroup properties

Mathematics Subject Classification ID

Maximal subgroups (20E28) Hausdorff and packing measures (28A78) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (2)

On the Basilica operation ⋮ On a class of poly-context-free groups generated by automata

Cites Work

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• On amenability of automata groups.
• Some topics in the dynamics of group actions on rooted trees.
• Amenability via random walks.
• Schreier graphs of the Basilica group.
• A system of defining relations for a Grigorchuk group
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A just-nonsolvable torsion-free group defined on the binary tree
• Endomorphic presentations of branch groups.
• Rigidity of branch groups acting on rooted trees
• Pro-\(\mathcal {C}\) congruence properties for groups of rooted tree automorphisms
• On maximal subgroups of infinite index in branch and weakly branch groups
• Engel elements in some fractal groups
• Branch rings, thinned rings, tree enveloping rings.
• Hausdorff dimension in a family of self-similar groups.
• The profinite completion of multi-EGS groups
• On the Basilica operation
• The finite images of finitely generated groups
• THE TWISTED TWIN OF THE GRIGORCHUK GROUP
• Subgroups and subrings of profinite rings
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• Non-elementary amenable subgroups of automata groups
• ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON
• Hausdorff dimension of the second Grigorchuk group
• The congruence subgroup problem for a family of branch groups
• GGS-groups: Order of congruence quotients and Hausdorff dimension
• Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups

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