Abstract:
This paper is the second in a series in which we complete the description of the finite vertex stabilizers for connected graphs with projective suborbits and, as a corollary, of the vertex stabilizers for finite connected graphs in groups of automorphisms that act transitively on
2-arcs. In this part we complete the treatment of the collineation case, under the assumption that the suborbit has projective dimension 3, and of the correlation case.
This publication is cited in the following 10 articles:
Pablo Spiga, “An overview on vertex stabilizers in vertex-transitive graphs”, Boll Unione Mat Ital, 2024
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
Guo S. Li Ya. Hua X., “(G,s)-Transitive Graphs of Valency 7”, Algebr. Colloq., 23:3 (2016), 493–500
M. Giudici, L. Morgan, “A class of semiprimitive groups that are graph-restrictive”, Bulletin of the London Mathematical Society, 2014
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
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
Trofimov V.I., Weiss R.M., “The group E6(q) and graphs with a locally linear group of automorphisms”, Math. Proc. Cambridge Philos. Soc., 148:1 (2010), 1–32
Ivanov A.A., Shpectorov S.V., “Amalgams determined by locally projective actions”, Nagoya Math. J., 176 (2004), 19–98
V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. IV”, Izv. Math., 67:6 (2003), 1267–1294
V. I. Trofimov, “Graphs with projective suborbits. Exceptional cases of characteristic 2. III”, Izv. Math., 65:4 (2001), 787–822
Citation in format AMSBIB
Contact us: