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arXiv · 2101.12534

On surjectivity of word maps on $\mathrm{PSL}_2$

Urban Jezernik·Jonatan Sánchez
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Abstract

Let $w = [[x^k, y^l], [x^m, y^n]]$ be a non-trivial double commutator word. We show that $w$ is surjective on $\mathrm{PSL}_2(K)$, where $K$ is an algebraically closed field of characteristic $0$.

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Urban Jezernik, Jonatan Sánchez. 2021-01-29. On surjectivity of word maps on $\mathrm{PSL}_2$. https://arxiv.org/abs/2101.12534

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