engleski

Designs constructed from primitive groups

Let $G$ be a finite permutation group acting primitively on sets $\Omega_1$ and $\Omega_2$. We describe a construction of a 1-design with the block set $\Omega_1$ and the point set $\Omega_2$, having $G$ as an automorphism group. Further, $G$ acts primitively on points and blocks of the design. Applying this method, we construct 2-designs and strongly regular graphs from some classical groups.

block design; primitive group

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