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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 143–152 (Mi timm1122)  
This article is cited in 5 scientific papers (total in 5 papers)

Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. I

A. S. Kondrat'ev, V. I. Trofimov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (208 kB) Citations (5)
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Abstract: This is the first in a series of papers whose results imply the validity of a strong version of the Sims conjecture on finite primitive permutation groups from the authors' article “Stabilizers of graph's vertices and a strengthened version of the Sims conjecture”, Dokl. Math. 59(1), 113–115 (1999). In this paper, the case of non almost simple primitive groups and the case of primitive groups with alternating socle are considered.
Keywords: finite primitive permutation group, stabilizer of point, graph, the Sims conjecture.
Received: 20.08.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 289, Issue 1, Pages 146–155
DOI: https://doi.org/10.1134/S0081543815050132
Bibliographic databases:
Document Type: Article
UDC: 512.542+519.175
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. I”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 143–152; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 146–155
Citation in format AMSBIB
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