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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 4, Pages 163–172
DOI: https://doi.org/10.21538/0134-4889-2016-22-4-163-172 (Mi timm1363) 		 
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
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DOI: https://doi.org/10.21538/0134-4889-2016-22-4-163-172
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.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Received: 20.08.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 299, Issue 1, Pages 113–122
DOI: https://doi.org/10.1134/S0081543817090140
Bibliographic databases:
Document Type: Article
UDC: 512.542+519.175
MSC: 20B15, 20D06, 05C25
Language: Russian
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
Citation in format AMSBIB
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