On the congruence subgroup property for GGS-groups

DOI10.1090/proc/13499zbMath1431.20017arXiv1604.03465OpenAlexW2963861724MaRDI QIDQ5270133

Gustavo A. Fernández-Alcober, Jone Uria-Albizuri, Alejandra Garrido

Publication date: 22 June 2017

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

Full work available at URL: https://arxiv.org/abs/1604.03465

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08)

Related Items (18)

Maximal subgroups of groups of intermediate growth ⋮ Maximal subgroups of nontorsion Grigorchuk–Gupta–Sidki 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 ⋮ The smallest Mealy automaton generating an indicable regular branch group ⋮ On the Basilica operation ⋮ GGS-groups over primary trees: branch structures ⋮ Pro-\(\mathcal {C}\) congruence properties for groups of rooted tree automorphisms ⋮ Hausdorff dimension of the second Grigorchuk group ⋮ Multi-GGS Groups have the Congruence Subgroup Property ⋮ The congruence subgroup problem for a family of branch groups ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups ⋮ Engel elements in some fractal groups ⋮ A constructive proof that the Hanoi towers group has non-trivial rigid kernel ⋮ Navigating directed Cayley graphs of small diameter: A potent Solovay–Kitaev procedure ⋮ Grigorchuk-Gupta-Sidki groups as a source for Beauville surfaces

Uses Software

• MathOverflow

Cites Work

• On the congruence subgroup problem for branch groups
• Profinite completions of some groups acting on trees.
• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• The congruence subgroup problem for branch groups.
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• MAXIMAL SUBGROUPS OF SOME NON LOCALLY FINITE p-GROUPS
• GGS-groups: Order of congruence quotients and Hausdorff dimension
• Profinite Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the congruence subgroup property for GGS-groups