On the congruence subgroup problem for branch groups

DOI10.1007/s11856-016-1402-xzbMath1380.20028arXiv1405.3237OpenAlexW3103710266MaRDI QIDQ503224

Alejandra Garrido

Publication date: 11 January 2017

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

Full work available at URL: https://arxiv.org/abs/1405.3237

zbMATH Keywords

profinite completionbranch actionbranch groupbranch kernel

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Residual properties and generalizations; residually finite groups (20E26) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (8)

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS ⋮ On the Basilica operation ⋮ THE FIRST-ORDER THEORY OF BRANCH GROUPS ⋮ Pro-\(\mathcal {C}\) congruence properties for groups of rooted tree automorphisms ⋮ The congruence subgroup problem for a family of branch groups ⋮ Maximal Subgroups and Irreducible Representations of Generalized Multi-Edge Spinal Groups ⋮ A constructive proof that the Hanoi towers group has non-trivial rigid kernel ⋮ On the congruence subgroup property for GGS-groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On subgroups of finite index in branch groups.
• The congruence subgroup property for \(\Aut F_2\): a group-theoretic proof of Asada's theorem.
• The uniqueness of the actions of certain branch groups on rooted trees.
• The congruence subgroup problem for branch groups.
• The congruence subgroup problem.
• Finite factor groups of the unimodular group
• Sous-groupes d'indice fini dans $SL\left( {n,Z} \right)$

This page was built for publication: On the congruence subgroup problem for branch groups