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arXiv · 1304.5052

Word equations in simple groups and polynomial equations in simple algebras

Alexey Kanel-Belov·Boris Kunyavskii·Eugene Plotkin
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Abstract

We give a brief survey of recent results on word maps on simple groups and polynomial maps on simple associative and Lie algebras. Our focus is on parallelism between these theories, allowing one to state many new open problems and giving new ways for solving older ones.

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Alexey Kanel-Belov, Boris Kunyavskii, Eugene Plotkin. 2013-04-18. Word equations in simple groups and polynomial equations in simple algebras. https://doi.org/10.3103/s1063454113010044

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