Some rigid Steiner 5-designs

Grannell, M. J. (2010). Some rigid Steiner 5-designs. Journal of Combinatorial Designs, 18(5) pp. 392–400.

DOI: https://doi.org/10.1002/jcd.20252

Abstract

Hitherto, all known non-trivial Steiner systems S$(5,k,v)$ have, as a group of automorphisms, either PSL$(2,v-1)$ or PGL$(2,\frac{v-2}{2})\times C_2$. In this paper, systems S$(5,6,72)$, S$(5,6,84)$ and S$(5,6,108)$ are constructed that have only the trivial automorphism group.

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