Automorphism subgroups for designs with $λ=1$

William M. Kantor

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arXiv · 1909.10126

Automorphism subgroups for designs with $λ=1$

William M. Kantor

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Abstract

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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BibTeX RIS

William M. Kantor. 2021-03-22. Automorphism subgroups for designs with $λ=1$. https://arxiv.org/abs/1909.10126

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