The equations satisfied by GGS-groups and the Abelian group structure of the Gupta-Sidki group.

DOI10.1016/J.EJC.2012.03.025zbMath1273.20023OpenAlexW2082910387MaRDI QIDQ444424

Olivier Siegenthaler, Amaia Zugadi-Reizabal

Publication date: 14 August 2012

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2012.03.025

zbMATH Keywords

\(p\)-adic rooted treeGGS-groupsGrigorchuk-Gupta-Sidki-groupsportraits of automorphismssubgroups of automorphism groups

Mathematics Subject Classification ID

Trees (05C05) Groups acting on trees (20E08) Limits, profinite groups (20E18) Infinite automorphism groups (20B27) Algebraic geometry over groups; equations over groups (20F70)

Related Items (1)

Tree languages and branched groups

Cites Work

• On the Burnside problem for periodic groups
• On Burnside's problem on periodic groups
• The true prosoluble completion of a group: examples and open problems.
• Hausdorff dimension in a family of self-similar groups.
• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• Pattern closure of groups of tree automorphisms
• Subgroups and subrings of profinite rings
• Hausdorff dimension, pro-𝑝 groups, and Kac-Moody algebras
• Über Gruppen und zugeordneten Liesche Ringe.
• Sur les groupes nilpotents et les anneaux de Lie
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