A NOTE ON FLAG-TRANSITIVE 5-(v, k, 4) DESIGNS

Authors : Shaojun DAİ, Shangzhao Lİ

Pages : 169-177

Doi:10.24330/ieja.663001

View : 16 | Download : 18

Publication Date : 2020-01-07

Article Type : Research Paper

Abstract :This article is a contribution to the study of the automorphism groups of $5$-$insert ignore into journalissuearticles values(v,k,4);$ designs. Let ${\mathcal S}$=$insert ignore into journalissuearticles values({\mathcal P},{\mathcal B});$ be a non-trivial $5$-$insert ignore into journalissuearticles values(q+1,k,4);$ design. If $G$ acts flag-transitively on $\mathcal S$, then $G$ is not two-dimensional projective linear group $PSLinsert ignore into journalissuearticles values(2,q);$.
Keywords : Flag transitive, 5 designs, PSL 2, q, groups