Geodesic
Line-transitive automorphism groups of linear spaces
The electronic journal of combinatorics, Tome 3 (1996) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

In this paper we prove the following theorem. Let $\cal S$ be a linear space. Assume that $\cal S$ has an automorphism group $G$ which is line-transitive and point-imprimitive with $k < 9$. Then $\cal S$ is one of the following:- (a) A projective plane of order $4$ or $7$, (b) One of $2$ linear spaces with $v=91$ and $k=6$, (c) One of $467$ linear spaces with $v=729$ and $k=8$. In all cases the full automorphism group Aut(${\cal S} \!$) is known.
DOI : 10.37236/1227
Classification : 51A10, 20B25
Mots-clés : line-transitive, point-imprimitive, linear space, automorphism group, projective plane 
@article{10_37236_1227,
     author = {Alan R Camina and Susanne Mischke},
     title = {Line-transitive automorphism groups of linear spaces},
     journal = {The electronic journal of combinatorics},
     year = {1996},
     volume = {3},
     number = {1},
     doi = {10.37236/1227},
     zbl = {0853.51001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1227/}
}
TY  - JOUR
AU  - Alan R Camina
AU  - Susanne Mischke
TI  - Line-transitive automorphism groups of linear spaces
JO  - The electronic journal of combinatorics
PY  - 1996
VL  - 3
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/1227/
DO  - 10.37236/1227
ID  - 10_37236_1227
ER  - 
%0 Journal Article
%A Alan R Camina
%A Susanne Mischke
%T Line-transitive automorphism groups of linear spaces
%J The electronic journal of combinatorics
%D 1996
%V 3
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/1227/
%R 10.37236/1227
%F 10_37236_1227
Alan R Camina; Susanne Mischke. Line-transitive automorphism groups of linear spaces. The electronic journal of combinatorics, Tome 3 (1996) no. 1. doi: 10.37236/1227

Cité par Sources :