Images of word maps in finite simple groups

Alexander Lubotzky

doi:10.1017/S0017089513000396

Images of word maps in finite simple groups

Alexander Lubotzky^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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 × G → G if and only if (i) A contains the identity and (ii) A is invariant under Aut(G).

Original language	English
Pages (from-to)	465-469
Number of pages	5
Journal	Glasgow Mathematical Journal
Volume	56
Issue number	2
DOIs	https://doi.org/10.1017/S0017089513000396
State	Published - May 2014

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Images of word maps in finite simple groups

Abstract

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