GGS-groups: Order of congruence quotients and Hausdorff dimension

DOI10.1090/S0002-9947-2013-05908-9zbMath1317.20029arXiv1108.2289OpenAlexW2130475286MaRDI QIDQ5401750

Gustavo A. Fernández-Alcober, Amaia Zugadi-Reizabal

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2289

zbMATH Keywords

Hausdorff dimensionGrigorchuk groups\(p\)-adic treeGGS-groupscongruence quotientsautomorphism groups of regular rooted treesGupta-Sidki groups

Mathematics Subject Classification ID

Groups acting on trees (20E08)

Related Items

Weakly maximal subgroups in regular branch groups., Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki groups, The finitely generated Hausdorff spectra of a family of pro-\(p\) groups, The profinite completion of multi-EGS groups, Ramification structures for quotients of multi-EGS groups, Groups acting on rooted trees and their representations on the boundary, On conjugacy of GGS-groups, Hausdorff dimensions in \(p\)-adic analytic groups, \(p\)-Basilica groups, The smallest Mealy automaton generating an indicable regular branch group, PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS, Portrait growth in contracting, regular branch groups, BRANCH GROUPS, ORBIT GROWTH, AND SUBGROUP GROWTH TYPES FOR PRO- GROUPS, On the Basilica operation, GGS-groups over primary trees: branch structures, Pro-\(\mathcal {C}\) congruence properties for groups of rooted tree automorphisms, Engel elements in weakly branch groups, Hausdorff dimension in \(R\)-analytic profinite groups, Hausdorff dimension of the second Grigorchuk group, Multi-GGS Groups have the Congruence Subgroup Property, Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups, Engel elements in some fractal groups, A language hierarchy and kitchens-type theorem for self-similar groups, Grigorchuk-Gupta-Sidki groups as a source for Beauville surfaces, On the congruence subgroup property for GGS-groups

Cites Work

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• Profinite completions of some groups acting on trees.
• On the Burnside problem for periodic groups
• On a 2-generated infinite 3-group: Subgroups and automorphisms
• Hausdorff dimension in a family of self-similar groups.
• Spinal groups: semidirect product decompositions and Hausdorff dimension
• Dimension and randomness in groups acting on rooted trees
• Hausdorff dimension of some groups acting on the binary tree
• Subgroups and subrings of profinite rings
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras