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IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS

Published online by Cambridge University Press:  30 August 2013

ALEXANDER LUBOTZKY
ALEXANDER LUBOTZKY*
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel e-mail: [email protected]
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Abstract

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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).

Keywords

20D0520F10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 2 , May 2014 , pp. 465 - 469
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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