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arXiv · 2409.09730

On point and block primitive designs invariant under permutation groups

Amin Saeidi
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Abstract

In this paper, we present a method for constructing point primitive block transitive $t$-designs invariant under finite groups. Furthermore, we demonstrate that every point and block primitive $G$-invariant design can be generated using this method. Additionally, we establish the theoretical possibility of identifying all block transitive $G$-invariant designs. However, in practice, the feasibility of enumerating all designs for larger groups may be limited by the computational complexity involved.

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Amin Saeidi. 2024-09-15. On point and block primitive designs invariant under permutation groups. https://arxiv.org/abs/2409.09730

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