Geodesic
Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. III
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 163-172

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This is the third in a series of papers whose results imply the validity of a strengthened version of the Sims conjecture on finite primitive permutation groups. In this paper, the case of primitive groups with simple socle of classical non-orthogonal Lie type and non-parabolic point stabilizer is considered.
Keywords: finite primitive permutation group, almost simple group, group of classical Lie type, stabilizer of a point, Sims conjecture. 
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A. S. Kondrat'ev; V. I. Trofimov. Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. III. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 163-172. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a15/