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This article is cited in 11 scientific papers (total in 11 papers)
Graphs with projective suborbits. Cases of small characteristics. I
V. I. Trofimov
Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Abstract:
This article is devoted to a positive solution, announced earlier by the author, of the question of boundedness of orders of stabilizers of vertices of connected finite symmetric graphs with projective suborbits. The case when the characteristic of the field is 3 and the automorphism group of the graph acts intransitively on its 3-arcs is considered. (The case when the characteristic of the field is 3 and the group acts transitively on the 3-arcs of the graph will be considered in Part II of this paper.) In parallel, some cases of a field of characteristic 2 are studied.
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Russian Academy of Sciences. Izvestiya Mathematics, 1995, 45:2, 353–398
Bibliographic databases:
  
UDC:
512.542+512.544.42
MSC: Primary 05C25; Secondary 20B25
Received: 02.06.1993
Citation:
V. I. Trofimov, “Graphs with projective suborbits. Cases of small characteristics. I”, Izv. RAN. Ser. Mat., 58:5 (1994), 124–171; Russian Acad. Sci. Izv. Math., 45:2 (1995), 353–398
Citation in format AMSBIB
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\jour Izv. RAN. Ser. Mat.
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 2
\pages 353--398
\crossref{https://doi.org/10.1070/IM1995v045n02ABEH001645}
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http://mi.mathnet.ru/eng/izv764 http://mi.mathnet.ru/eng/izv/v58/i5/p124
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This publication is cited in the following articles:
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V. I. Trofimov, “Graphs with projective suborbits. Cases of small characteristics. II”, Russian Acad. Sci. Izv. Math., 45:3 (1995), 559–576
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V. I. Trofimov, “Pismo v redaktsiyu”, Izv. RAN. Ser. matem., 59:4 (1995), 221–221
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V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. I”, Izv. Math., 62:6 (1998), 1221–1279
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V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. II”, Izv. Math., 64:1 (2000), 173–192
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V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. III”, Izv. Math., 65:4 (2001), 787–822
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V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. IV”, Izv. Math., 67:6 (2003), 1267–1294
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Ivanov A.A., Shpectorov S.V., “Amalgams determined by locally projective actions”, Nagoya Mathematical Journal, 176 (2004), 19–98
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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
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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
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Giudici M. Morgan L., “A Class of Semiprimitive Groups That Are Graph-Restrictive”, Bull. London Math. Soc., 46:6 (2014), 1226–1236
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Guo S. Li Ya. Hua X., “(G,s)-Transitive Graphs of Valency 7”, Algebr. Colloq., 23:3 (2016), 493–500
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