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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
Full-text PDF (220 kB) Citations (3)
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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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\paper Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. III
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\vol 22
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Linking options:
  • https://www.mathnet.ru/eng/timm1363
  • https://www.mathnet.ru/eng/timm/v22/i4/p163
    • This publication is cited in the following 3 articles:
    1. Anatoly S. Kondrat'ev, Vladimir I. Trofimov, Groups St Andrews 2017 in Birmingham, 2019, 419  crossref
    2. A. S. Kondrat'ev, V. I. Trofimov, “Stabilizers of vertices of graphs with primitive automorphism groups and a strong version of the Sims conjecture. IV”, Proc. Steklov Inst. Math. (Suppl.), 307, suppl. 1 (2019), S64–S87  mathnet  crossref  crossref  isi  elib
    3. V. V. Korableva, “Usilennaya versiya gipotezy Simsa dlya primitivnykh parabolicheskikh podstanovochnykh predstavlenii konechnykh prostykh grupp lievykh tipov $G_2$, $F_4$ i $E_6$”, Sib. elektron. matem. izv., 15 (2018), 1595–1604  mathnet  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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