Abstract
This is the second in a series of papers whose results imply the validity of a strong version of the Sims conjecture on finite primitive permutation groups. In this paper, the case of primitive groups with simple socle of exceptional Lie type and nonparabolic point stabilizer is considered.
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Original Russian Text © A.S. Kondrat’ev, V.I. Trofimov, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 2.
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Kondrat’ev, A.S., Trofimov, V.I. Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. II. Proc. Steklov Inst. Math. 295 (Suppl 1), 89–100 (2016). https://doi.org/10.1134/S0081543816090108
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DOI: https://doi.org/10.1134/S0081543816090108