Geodesic
IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 465-469

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DOI

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).
DOI : 10.1017/S0017089513000396
Mots-clés : 20D05, 20F10 
LUBOTZKY, ALEXANDER. IMAGES OF WORD MAPS IN FINITE SIMPLE GROUPS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 465-469. doi: 10.1017/S0017089513000396
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     title = {IMAGES {OF} {WORD} {MAPS} {IN} {FINITE} {SIMPLE} {GROUPS}},
     journal = {Glasgow mathematical journal},
     pages = {465--469},
     year = {2014},
     volume = {56},
     number = {2},
     doi = {10.1017/S0017089513000396},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000396/}
}
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