Words have bounded width in

DOI10.1112/S0010437X19007334zbMath1454.20097arXiv1801.03887MaRDI QIDQ5382629

Nir Avni, Chen Meiri

Publication date: 18 June 2019

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03887

zbMATH Keywords

\(\mathrm{SL}(n,\mathbb{Z})\)width of words in arithmetic groups

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Classical groups (11E57)

Related Items (3)

Bounded generation and commutator width of Chevalley groups: function case ⋮ Formal solutions and the first‐order theory of acylindrically hyperbolic groups ⋮ On the model theory of higher rank arithmetic groups

Cites Work

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• Finite factor groups of the unimodular group
• Verbal subgroups of hyperbolic groups have infinite width
• Word maps and Waring type problems
• Convergent Sequences in Discrete Groups
• IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS
• Diameters of finite simple groups: sharp bounds and applications

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