Criteria for equidistribution of solutions of word equations on \(\mathrm{SL}(2)\).

DOI10.1016/j.jalgebra.2013.02.031zbMath1292.20049arXiv1201.5260OpenAlexW2963261355MaRDI QIDQ2437449

Tatiana Bandman, Boris Kunyavskiĭ

Publication date: 3 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5260

zbMATH Keywords

equidistributionfinite groups of Lie typeword mapstrace polynomials

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Rational points (14G05) Finite ground fields in algebraic geometry (14G15) Simple groups: alternating groups and groups of Lie type (20D06) Classical groups (11E57) Probabilistic methods in group theory (20P05) Algebraic geometry over groups; equations over groups (20F70)

Related Items

Word maps on perfect algebraic groups ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Word maps and word maps with constants of simple algebraic groups ⋮ On Engel words on simple algebraic groups. ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Measure preserving words are primitive

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