On the lower central series and the derived series of the gupta-sidki 3-group

DOI10.1080/00927879808826201zbMath0899.20015OpenAlexW2082020582MaRDI QIDQ4390580

Ana Cristina Vieira

Publication date: 15 September 1998

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879808826201

zbMATH Keywords

derived lengthslower central seriesderived seriescentral seriesstabilizer subgroups\(AT\)-groupsGupta-Sidki groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Derived series, central series, and generalizations for groups (20F14)

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Algorithms for finitely \(L\)-presented groups and their applications to some self-similar groups., A just-nonsolvable torsion-free group defined on the binary tree, Automorphisms of one-rooted trees: growth, circuit structure, and acyclicity.

Cites Work

• On the Burnside problem for periodic groups
• On a 2-generated infinite 3-group: The presentation problem
• On a 2-generated infinite 3-group: Subgroups and automorphisms
• Lower central series of a group of tree automorphisms
• A Primitive Ring Associated to a Burnside 3-Group