Images of word maps in finite simple groups

Alexander Lubotzky

doi:10.1017/S0017089513000396

Images of word maps in finite simple groups

Alexander Lubotzky

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S0017089513000396

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AB - 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).

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DO - 10.1017/S0017089513000396

M3 - مقالة

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JO - Glasgow Mathematical Journal

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Images of word maps in finite simple groups

Abstract

All Science Journal Classification (ASJC) codes

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