Elements of uniformly bounded word-length in groups

DOI10.4171/LEM/1002MaRDI QIDQ2077235

Yanis Amirou

Publication date: 24 February 2022

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11464

zbMATH Keywords

torsion groupshyperbolic groupsBurnside groupsword metricsvirtually abelian groupscharacteristic subgroupsgroup identitiesFC-centerword-length

Mathematics Subject Classification ID

Geometric group theory (20F65)

Cites Work

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• The girth of groups satisfying Tits alternative.
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• Mixing, malnormal subgroups and cohomology in degree one
• Uniform non-amenability
• Shalom's property \(H_{\mathrm{FD}}\) and extensions by \(\mathbb{Z}\) of locally finite groups
• Remarks on the Upper Centralc Series of a Group
• Ordering the space of finitely generated groups

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