Graphs with projective suborbits. Exceptional cases of characteristic~2.~III
Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 787-822.

Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is the third 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 projective dimension of the suborbit is equal to 4.
@article{IM2_2001_65_4_a8,
     author = {V. I. Trofimov},
     title = {Graphs with projective suborbits. {Exceptional} cases of {characteristic~2.~III}},
     journal = {Izvestiya. Mathematics },
     pages = {787--822},
     publisher = {mathdoc},
     volume = {65},
     number = {4},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a8/}
}
TY  - JOUR
AU  - V. I. Trofimov
TI  - Graphs with projective suborbits. Exceptional cases of characteristic~2.~III
JO  - Izvestiya. Mathematics 
PY  - 2001
SP  - 787
EP  - 822
VL  - 65
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a8/
LA  - en
ID  - IM2_2001_65_4_a8
ER  - 
%0 Journal Article
%A V. I. Trofimov
%T Graphs with projective suborbits. Exceptional cases of characteristic~2.~III
%J Izvestiya. Mathematics 
%D 2001
%P 787-822
%V 65
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a8/
%G en
%F IM2_2001_65_4_a8
V. I. Trofimov. Graphs with projective suborbits. Exceptional cases of characteristic~2.~III. Izvestiya. Mathematics , Tome 65 (2001) no. 4, pp. 787-822. http://geodesic.mathdoc.fr/item/IM2_2001_65_4_a8/

[1] Trofimov V. I., “Grafy s proektivnymi podorbitami. Isklyuchitelnye sluchai kharakteristiki 2, I”, Izv. RAN. Ser. matem., 62:6 (1998), 159–222 | MR | Zbl

[2] Trofimov V. I., “Grafy s proektivnymi podorbitami. Isklyuchitelnye sluchai kharakteristiki 2, II”, Izv. RAN. Ser. matem., 64:1 (2000), 175–196 | MR | Zbl

[3] Trofimov V. I., “Stabilizatory vershin grafov s proektivnymi podorbitami”, DAN SSSR, 315:3 (1990), 544–546 | MR | Zbl

[4] Trofimov V. I., “Grafy s proektivnymi podorbitami”, Izv. AN SSSR. Ser. matem., 55:4 (1991), 890–916 | MR

[5] Trofimov V. I., “Grafy s proektivnymi podorbitami. Sluchai malykh kharakteristik. I; II”, Izv. RAN. Ser. matem., 58:5 (1994), 124–171 | MR | Zbl

[6] McLaughlin J., “Some subgroups of $\mathrm{SL}_n (\mathbf{F}_2)$”, Ill. J. Math., 13 (1969), 108–115 | MR | Zbl

[7] Meierfrankenfeld U., “Pushing Up $Sp(4, 2^k)$”, J. Algebra, 112 (1988), 430–466 | DOI | MR | Zbl

[8] Gardiner A., “Arc transitivity in graphs. I; II”, Quart. J. Math. (2), 24 (1973), 399–407 ; 25 (1974), 163–167 | DOI | MR | Zbl | DOI | MR | Zbl

[9] Weiss R., “Graphs with subconstituents containing $L_3 (p)$”, Proc. Amer. Math. Soc., 85 (1982), 666–672 | DOI | MR | Zbl

[10] Weiss R., “Graphs with a $(B, N)$-pair and locally transitive graphs”, Nagoya Math. J., 74 (1979), 1–21 | MR | Zbl

[11] Timmesfeld F., Amalgams with rank 2 groups of Lie-type in characteristic 2, Preprint, Justus-Liebig-Univ. Giessen Math. Inst., 1984 | MR

[12] Meierfrankenfeld U., Stellmacher B., “Pushing up weak $BN$-pairs of rank two”, Commun. Algebra, 21 (1993), 825–934 | DOI | MR | Zbl