Geodesic
The Ore conjecture
Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 939-1008.

Voir la notice de l'article provenant de la source EMS Press

The Ore conjecture, posed in 1951, states that every element of every finite non-abelian simple group is a commutator. Despite considerable effort, it remained open for various infinite families of simple groups. In this paper we develop new strategies, combining character-theoretic methods with other ingredients, and use them to establish the conjecture.
DOI : 10.4171/jems/220
Classification : 20-XX, 00-XX
Keywords: 
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     title = {The {Ore} conjecture},
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Martin W. Liebeck; Eamonn A. O'Brien; Aner Shalev; Pham Huu Tiep. The Ore conjecture. Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 939-1008. doi : 10.4171/jems/220. http://geodesic.mathdoc.fr/articles/10.4171/jems/220/

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