|
This article is cited in 4 scientific papers (total in 4 papers)
Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. II
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 second 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 exceptional Lie type and non-parabolic point stabilizer is considered.
Keywords:
finite primitive permutation group, almost simple group, group of exceptional Lie type, stabilizer of a point, Sims conjecture.
Received: 20.12.2015
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. II”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 2, 2016, 177–187; Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 89–100
Linking options:
https://www.mathnet.ru/eng/timm1303 https://www.mathnet.ru/eng/timm/v22/i2/p177
|
Statistics & downloads: |
Abstract page: | 395 | Full-text PDF : | 89 | References: | 77 | First page: | 8 |
|