Automorphism subgroups for designs with $λ=1$

23 Sep 2019  ·  William M. Kantor ·

Given an integer $k\ge3$ and a group $G$ of odd order, if there exists a $2$-$(v,k,1)$-design and if $v$ is sufficiently large, then there is such a design whose automorphism group has a subgroup isomorphic to $G$. A weaker result is proved when $|G|$ is even and $(k,|G|)=1$...

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