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This article is cited in 3 scientific papers (total in 3 papers)
Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. III
A. S. Kondrat'evab, V. I. Trofimovab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Abstract:
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.
Received: 20.08.2016
Citation:
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 Inst. Mat. i Mekh. UrO RAN, 22, no. 4, 2016, 163–172; Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 113–122
Linking options:
https://www.mathnet.ru/eng/timm1363 https://www.mathnet.ru/eng/timm/v22/i4/p163
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