Geodesic
A note on representing dowling geometries by partitions
Kybernetika, Tome 56 (2020) no. 5, pp. 934-947
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We prove that a rank $\geq 3$ Dowling geometry of a group $H$ is partition representable if and only if $H$ is a Frobenius complement. This implies that Dowling group geometries are secret-sharing if and only if they are multilinearly representable.
We prove that a rank $\geq 3$ Dowling geometry of a group $H$ is partition representable if and only if $H$ is a Frobenius complement. This implies that Dowling group geometries are secret-sharing if and only if they are multilinearly representable.
DOI : 10.14736/kyb-2020-5-0934
Classification : 05B35
Keywords: matroid representations; partition representations; Dowling geometries; Frobenius groups 
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Matúš, František; Ben-Efraim, Aner. A note on representing dowling geometries by partitions. Kybernetika, Tome 56 (2020) no. 5, pp. 934-947. doi: 10.14736/kyb-2020-5-0934

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