THE TWISTED TWIN OF THE GRIGORCHUK GROUP

DOI10.1142/S0218196710005728zbMath1273.20022arXiv0904.1600OpenAlexW3100401588MaRDI QIDQ3580221

Laurent Bartholdi, Olivier Siegenthaler

Publication date: 11 August 2010

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1600

zbMATH Keywords

torsion groupsgroups acting on treesSchur multipliersautomata groupscongruence propertyself-similar groupsjust-infinite groupsendomorphic presentations

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Derived series, central series, and generalizations for groups (20F14) Groups acting on trees (20E08) Limits, profinite groups (20E18)

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Uses Software

• GAP
• kbmag
• NQL

Cites Work

• On a 2-generated infinite 3-group: The presentation problem
• Endomorphic presentations of branch groups.
• A NILPOTENT QUOTIENT ALGORITHM FOR CERTAIN INFINITELY PRESENTED GROUPS AND ITS APPLICATIONS