Word maps and word maps with constants of simple algebraic groups

DOI10.1134/S1064562416060077zbMath1371.20038OpenAlexW2568493219MaRDI QIDQ521407

Boris Kunyavskiĭ, Eugene Plotkin, Nikolai Gordeev

Publication date: 11 April 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416060077

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70) Group varieties (14L10)

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Cites Work

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• Criteria for equidistribution of solutions of word equations on \(\mathrm{SL}(2)\).
• Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics.
• Word maps in Kac-Moody setting
• About Goto's method showing surjectivity of word maps

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