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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 45, Issue 3, Pages 559–576
DOI: https://doi.org/10.1070/IM1995v045n03ABEH001672
(Mi im528)
 

This article is cited in 12 scientific papers (total in 12 papers)

Graphs with projective suborbits. Cases of small characteristics. II

V. I. Trofimov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
References:
Abstract: This article is devoted to the positive solution, announced earlier by the author, of the question of the boundedness of the orders of stabilizers of vertices of connected finite symmetric graphs with projective suborbits. We consider the case when the characteristic of the field is equal to 3 and the automorphism group of the graph acts transitively on its 3-arcs. (The case when the characteristic of the field is equal to 3 and the group acts intransitively on 3-arcs of the graph was considered in part I of the article.)
Received: 02.06.1993
Bibliographic databases:
UDC: 512.542+512.544.42
MSC: 05C25
Language: English
Original paper language: Russian
Citation: V. I. Trofimov, “Graphs with projective suborbits. Cases of small characteristics. II”, Russian Acad. Sci. Izv. Math., 45:3 (1995), 559–576
Citation in format AMSBIB
\Bibitem{Tro94}
\by V.~I.~Trofimov
\paper Graphs with projective suborbits. Cases of small characteristics.~II
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 3
\pages 559--576
\mathnet{http://mi.mathnet.ru/eng/im528}
\crossref{https://doi.org/10.1070/IM1995v045n03ABEH001672}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1317213}
\zmath{https://zbmath.org/?q=an:0849.05033}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TW91000007}
Linking options:
  • https://www.mathnet.ru/eng/im528
  • https://doi.org/10.1070/IM1995v045n03ABEH001672
  • https://www.mathnet.ru/eng/im/v58/i6/p137
    Erratum Cycle of papers
    This publication is cited in the following 12 articles:
    1. V. I. Trofimov, “A Graph with a Locally Projective Vertex-Transitive Group of Automorphisms Aut(Fi22) Which Has a Nontrivial Stabilizer of a Ball of Radius 2”, Proc. Steklov Inst. Math. (Suppl.), 323, suppl. 1 (2023), S300–S304  mathnet  crossref  crossref  elib
    2. Guo S., Li Ya., Hua X., “(G,s)-Transitive Graphs of Valency 7”, Algebr. Colloq., 23:3 (2016), 493–500  crossref  mathscinet  zmath  isi  scopus
    3. Giudici M. Morgan L., “A Class of Semiprimitive Groups That Are Graph-Restrictive”, Bull. London Math. Soc., 46:6 (2014), 1226–1236  crossref  isi
    4. Praeger Ch.E. Spiga P. Verret G., “Bounding the Size of a Vertex-Stabiliser in a Finite Vertex-Transitive Graph”, J. Comb. Theory Ser. B, 102:3 (2012), 797–819  crossref  isi
    5. Trofimov V.I., Weiss R.M., “The group E-6(q) and graphs with a locally linear group of automorphisms”, Mathematical Proceedings of the Cambridge Philosophical Society, 148:1 (2010), 1–32  crossref  isi  elib
    6. Ivanov A.A., Shpectorov S.V., “Amalgams determined by locally projective actions”, Nagoya Mathematical Journal, 176 (2004), 19–98  isi
    7. V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. IV”, Izv. Math., 67:6 (2003), 1267–1294  mathnet  crossref  crossref  mathscinet  zmath  isi
    8. V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. III”, Izv. Math., 65:4 (2001), 787–822  mathnet  crossref  crossref  mathscinet  zmath
    9. V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. II”, Izv. Math., 64:1 (2000), 173–192  mathnet  crossref  crossref  mathscinet  zmath  isi
    10. V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. I”, Izv. Math., 62:6 (1998), 1221–1279  mathnet  crossref  crossref  mathscinet  zmath  isi
    11. V. I. Trofimov, “Pismo v redaktsiyu”, Izv. RAN. Ser. matem., 59:4 (1995), 221–221  mathnet  mathscinet
    12. V. I. Trofimov, “Graphs with projective suborbits. Cases of small characteristics. I”, Russian Acad. Sci. Izv. Math., 45:2 (1995), 353–398  mathnet  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:351
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    References:65
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