Graphs with projective suborbits. Exceptional cases of characteristic~2. II
Izvestiya. Mathematics , Tome 64 (2000) no. 1, pp. 173-192.

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

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.
@article{IM2_2000_64_1_a5,
     author = {V. I. Trofimov},
     title = {Graphs with projective suborbits. {Exceptional} cases of characteristic~2. {II}},
     journal = {Izvestiya. Mathematics },
     pages = {173--192},
     publisher = {mathdoc},
     volume = {64},
     number = {1},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a5/}
}
TY  - JOUR
AU  - V. I. Trofimov
TI  - Graphs with projective suborbits. Exceptional cases of characteristic~2. II
JO  - Izvestiya. Mathematics 
PY  - 2000
SP  - 173
EP  - 192
VL  - 64
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a5/
LA  - en
ID  - IM2_2000_64_1_a5
ER  - 
%0 Journal Article
%A V. I. Trofimov
%T Graphs with projective suborbits. Exceptional cases of characteristic~2. II
%J Izvestiya. Mathematics 
%D 2000
%P 173-192
%V 64
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a5/
%G en
%F IM2_2000_64_1_a5
V. I. Trofimov. Graphs with projective suborbits. Exceptional cases of characteristic~2. II. Izvestiya. Mathematics , Tome 64 (2000) no. 1, pp. 173-192. http://geodesic.mathdoc.fr/item/IM2_2000_64_1_a5/

[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. Sluchai malykh kharakteristik. I; II”, Izv. RAN. Ser. matem., 58:5 (1994), 124–171 | 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., “More on the vertex stabilizers of the symmetric graphs with projective subconstituents”, Intern. Conf. Algebr. Combin., Abstracts, Vladimir, 1991, 36–37 | MR

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

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

[8] McLaughlin J., “Some subgroup of $\operatorname{SL}_n(F_2)$”, Ill. J. Math., 13 (1969), 108–115 | MR | Zbl

[9] Trofimov V. I., “Pismo v redaktsiyu”, Izv. RAN. Ser. matem., 59:4 (1995), 221 | MR

[10] Conway J. H., Curtis R. T., Norton S. P., Parker R. A., Wilson R. A., ATLAS of finite groups, Oxford Univ. Press, Oxford e.a., 1985 | MR | Zbl

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