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Stabilizers of Vertices of Graphs with Primitive Automorphism Groups and a Strong Version of the Sims Conjecture. III

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Abstract

This is the third 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 classical nonorthogonal Lie type and nonparabolic point stabilizer is considered.

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Correspondence to A. S. Kondrat’ev.

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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. 4.

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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. III. Proc. Steklov Inst. Math. 299 (Suppl 1), 113–122 (2017). https://doi.org/10.1134/S0081543817090140

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  • DOI: https://doi.org/10.1134/S0081543817090140

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