Geodesic
Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
Journal of Algebraic Combinatorics, Tome 26 (2007) no. 4, pp. 529-552.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we prove that if a biplane $D$ admits a flag-transitive automorphism group $G$ of almost simple type with classical socle, then $D$ is either the unique (11,5,2) or the unique (7,4,2) biplane, and $G\leq PSL _{2}(11)$ or $PSL _{2}(7)$, respectively. Here if $X$ is the socle of $G$ (that is, the product of all its minimal normal subgroups), then $X\? G\leq $Aut $G$ and $X$ is a simple classical group.
Keywords: keywords automorphism group, biplanes, flag-transitive 
@article{JAC_2007__26_4_a0,
     author = {O'Reilly-Regueiro, Eugenia},
     title = {Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle},
     journal = {Journal of Algebraic Combinatorics},
     pages = {529--552},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2007__26_4_a0/}
}
TY  - JOUR
AU  - O'Reilly-Regueiro, Eugenia
TI  - Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
JO  - Journal of Algebraic Combinatorics
PY  - 2007
SP  - 529
EP  - 552
VL  - 26
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2007__26_4_a0/
LA  - en
ID  - JAC_2007__26_4_a0
ER  - 
%0 Journal Article
%A O'Reilly-Regueiro, Eugenia
%T Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle
%J Journal of Algebraic Combinatorics
%D 2007
%P 529-552
%V 26
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2007__26_4_a0/
%G en
%F JAC_2007__26_4_a0
O'Reilly-Regueiro, Eugenia. Biplanes with flag-transitive automorphism groups of almost simple type, with classical socle. Journal of Algebraic Combinatorics, Tome 26 (2007) no. 4, pp. 529-552. http://geodesic.mathdoc.fr/item/JAC_2007__26_4_a0/