Verbal subgroups of hyperbolic groups have infinite width

DOI10.1112/jlms/jdu034zbMath1339.20036arXiv1107.3719OpenAlexW3100847198MaRDI QIDQ2922852

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Publication date: 15 October 2014

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3719

zbMATH Keywords

Cayley graphsrelatively hyperbolic groupswidth of verbal subgroups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

The verbal width of acylindrically hyperbolic groups, Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics., Words have bounded width in, Knapsack in hyperbolic groups, Complexity of word problems for HNN-extensions, Complexity of word problems for HNN-extensions, Geometry of word equations in simple algebraic groups over special fields, Нетривиальные псевдохарактеры на группах с одним определяющим соотношением и нетривиальным центром

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