Geodesic
Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of Lie type
Jianbing Lu1
1National University of Defense Technology
The electronic journal of combinatorics, Tome 32 (2025) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

Let $\mathcal{D}$ be a non-trivial quasi-symmetric $2$-design with two block intersection numbers $x=0$ and $2\leq y\leq10$, and suppose that $G$ is an automorphism group of $\mathcal{D}$. If $G$ is flag-transitive and point-primitive, then it is known that $G$ is either of affine type or almost simple type. In this paper, we show that the socle of $G$ cannot be a finite simple exceptional group of Lie type.
DOI : 10.37236/13529
Classification : 05B05, 20B15, 20B25
Mots-clés : flag-transitive point-primitive automorphism group

Jianbing Lu  1

1 National University of Defense Technology 
@article{10_37236_13529,
     author = {Jianbing Lu},
     title = {Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of {Lie} type},
     journal = {The electronic journal of combinatorics},
     year = {2025},
     volume = {32},
     number = {3},
     doi = {10.37236/13529},
     zbl = {8097641},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/13529/}
}
TY  - JOUR
AU  - Jianbing Lu
TI  - Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of Lie type
JO  - The electronic journal of combinatorics
PY  - 2025
VL  - 32
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/13529/
DO  - 10.37236/13529
ID  - 10_37236_13529
ER  - 
%0 Journal Article
%A Jianbing Lu
%T Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of Lie type
%J The electronic journal of combinatorics
%D 2025
%V 32
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/13529/
%R 10.37236/13529
%F 10_37236_13529
Jianbing Lu. Flag-transitive point-primitive quasi-symmetric \(2\)-designs and exceptional groups of Lie type. The electronic journal of combinatorics, Tome 32 (2025) no. 3. doi: 10.37236/13529

Cité par Sources :