Geodesic
On intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 62-70 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that, if a Hall subgroup of an almost simple group whose socle is an exceptional group of Lie type is solvable, then there exist four groups conjugate to it whose intersection is trivial.
Keywords: almost simple group, base size, solvable Hall subgroup. 
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E. P. Vdovin. On intersection of solvable Hall subgroups in finite simple exceptional groups of Lie type. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 62-70. http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a5/

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