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This article is cited in 8 scientific papers (total in 8 papers)
Graphs with projective suborbits. Exceptional cases of characteristic 2. IV
V. I. Trofimov
Abstract:
This paper is the final part of a series in which we complete the description of the finite vertex stabilizers of connected graphs with projective suborbits and, as a corollary, of the vertex stabilizers of connected finite graphs in groups of automorphisms that are transitive on 2-arcs. In this part we complete the treatment of the collineation case under the assumption that
the projective dimension of the suborbit exceeds 4.
DOI:
https://doi.org/10.4213/im464
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English version:
Izvestiya: Mathematics, 2003, 67:6, 1267–1294
Bibliographic databases:
   
UDC:
512.542+512.544.42
MSC: 05C25
Received: 18.11.2002
Citation:
V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. IV”, Izv. RAN. Ser. Mat., 67:6 (2003), 193–222; Izv. Math., 67:6 (2003), 1267–1294
Citation in format AMSBIB
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Linking options:
http://mi.mathnet.ru/eng/izv464https://doi.org/10.4213/im464 http://mi.mathnet.ru/eng/izv/v67/i6/p193
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Cycle of papers
- Graphs with projective suborbits. Cases of small characteristics. I
V. I. Trofimov
Izv. RAN. Ser. Mat., 1994, 58:5, 124–171
- Graphs with projective suborbits. Exceptional cases of characteristic 2. I
V. I. Trofimov
Izv. RAN. Ser. Mat., 1998, 62:6, 159–222
- Graphs with projective suborbits. Cases of small characteristics. II
V. I. Trofimov
Izv. RAN. Ser. Mat., 1994, 58:6, 137–156
- Graphs with projective suborbits. Exceptional cases of characteristic 2. II
V. I. Trofimov
Izv. RAN. Ser. Mat., 2000, 64:1, 175–196
- Graphs with projective suborbits. Exceptional cases of characteristic 2. III
V. I. Trofimov
Izv. RAN. Ser. Mat., 2001, 65:4, 151–190
- Graphs with projective suborbits. Exceptional cases of characteristic 2. IV
V. I. Trofimov
Izv. RAN. Ser. Mat., 2003, 67:6, 193–222
This publication is cited in the following articles:
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Ivanov A.A., Shpectorov S.V., “Amalgams determined by locally projective actions”, Nagoya Math. J., 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”, Math. Proc. Cambridge Philos. Soc., 148:1 (2010), 1–32
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Spiga P., “On G-locally primitive graphs of locally Twisted Wreath type and a conjecture of Weiss”, J Combin Theory Ser A, 118:8 (2011), 2257–2260
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Praeger Ch.E., Pyber L., Spiga P., Szabo E., “Graphs with Automorphism Groups Admitting Composition Factors of Bounded Rank”, Proc. Amer. Math. Soc., 140:7 (2012), 2307–2318
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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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M. Giudici, L. Morgan, “A class of semiprimitive groups that are graph-restrictive”, Bulletin of the London Mathematical Society, 2014
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Spiga P., “An Application of the Local C(G, T) Theorem To a Conjecture of Weiss”, Bull. London Math. Soc., 48:1 (2016), 12–18
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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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