The equations satisfied by GGS-groups and the Abelian group structure of the Gupta-Sidki group.
type: Item
instance of: scholarly article
title: The equations satisfied by GGS-groups and the Abelian group structure of the Gupta-Sidki group.
zbMATH Open document ID: 1273.20023
author: Olivier Siegenthaler
author: Amaia Zugadi-Reizabal
published in: European Journal of Combinatorics
publication date: 2012-08-14T00:00:00Z
Mathematics Subject Classification ID: 20E08
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 20E18
Mathematics Subject Classification ID: 20B27
Mathematics Subject Classification ID: 20F70
zbMATH DE Number: 6065723
zbMATH Keywords: \(p\)-adic rooted tree
zbMATH Keywords: subgroups of automorphism groups
zbMATH Keywords: Grigorchuk-Gupta-Sidki-groups
zbMATH Keywords: GGS-groups
zbMATH Keywords: portraits of automorphisms
MaRDI profile type: Publication
full work available at URL: j.ejc.2012.03.025
OpenAlex ID: W2082910387
cites work: Subgroups and subrings of profinite rings
cites work: The true prosoluble completion of a group: examples and open problems.
cites work: Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
cites work: Lie methods in growth of groups and groups of finite width
cites work: Q3139887
cites work: On Burnside's problem on periodic groups
cites work: Q3338434
cites work: Q3436928
cites work: On the Burnside problem for periodic groups
cites work: Q5732712
cites work: Sur les groupes nilpotents et les anneaux de Lie
cites work: Über Gruppen und zugeordneten Liesche Ringe.
cites work: Hausdorff dimension in a family of self-similar groups.
cites work: Pattern closure of groups of tree automorphisms
cites work: Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
DOI: 10.1016/J.EJC.2012.03.025
description: scientific article; zbMATH DE number 6065723