We propose a conjecture concerning decompositions of finite simple groups as products of conjugate subgroups, and prove it for a large class of maximal subgroups.
Cite this article
Martin W. Liebeck, Nikolay Nikolov, Aner Shalev, A conjecture on product decompositions in simple groups. Groups Geom. Dyn. 4 (2010), no. 4, pp. 799–812DOI 10.4171/GGD/107