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

Year 2020, Volume: 27 Issue: 27, 169 - 177, 07.01.2020

Shaojun Dai Shangzhao Li

https://doi.org/10.24330/ieja.663001

Abstract

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

Keywords

Flag-transitive, 5-designs, PSL(2;q) groups

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