Images of word maps in finite simple groups

Alexander Lubotzky

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arXiv · 1211.6575

Images of word maps in finite simple groups

Alexander Lubotzky

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Abstract

In response to questions by Kassabov, Nikolov and Shalev, we show that a given subset $A$ of a finite simple group $G$ is the image of some word map $w : G\times G\to G $ if and only if (i) $A$ contains the identity and (ii) $A$ is invariant under $\Aut (G)$.

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BibTeX RIS

Alexander Lubotzky. 2012-11-28. Images of word maps in finite simple groups. https://arxiv.org/abs/1211.6575

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