Almost simple groups with socle $L_n(q)$ acting on Steiner quadruple systems

Abstract

Let $N=L_n(q)$, {$n\ge 2$}, $q$ a prime power, be a projective linear simple group. We classify all Steiner quadruple systems admitting a group $G$ with $N \leq G \leq \Aut(N)$. In particular, we show that $G$ cannot act as a group of automorphisms on any Steiner quadruple system for $n>2$.

5 pages; to appear in: "Journal of Combinatorial Theory, Series A"

References in corpus (1)

• Classification of flag-transitive Steiner quadruple systems

Cited by in corpus (1)

• Steiner quadruple systems with point-regular abelian automorphism groups