Commutator width in the first Grigorchuk group

DOI10.4171/GGD/666WikidataQ114021499 ScholiaQ114021499MaRDI QIDQ2102157

Thorsten Groth, Laurent Bartholdi, Igor G. Lysenok

Publication date: 28 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05706

zbMATH Keywords

commutator lengthquadratic equationsself-similar groups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08)

Uses Software

• GAP
• FR
• LPRES

Cites Work

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• The Ore conjecture.
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• Transverse foliations of Seifert bundles and self homeomorphism of the circle
• On Burnside's problem on periodic groups
• Expressing group elements as commutators
• Verbal subgroups of the automorphism groups of homogeneous rooted trees
• Representation zeta functions of self-similar branched groups
• CENTRALIZERS OF ELEMENTS IN A GROUP OF TREE AUTOMORPHISMS
• A STRUCTURAL PROPERTY CONCERNING ABSTRACT COMMENSURABILITY OF SUBGROUPS
• Conjugacy growth and width of certain branch groups
• Commutators of Certain Finitely Generated Soluble Groups
• Algorithmic Decidability of Engel’s Property for Automaton Groups
• Some Remarks on Commutators

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