A family of hemisystems on the parabolic quadrics

Alice C. Niemeyer; Jesse Lansdown

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A family of hemisystems on the parabolic quadrics

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arxiv 1908.08886 v1 pith:6MO2JC2X submitted 2019-08-23 math.CO

A family of hemisystems on the parabolic quadrics

Jesse Lansdown , Alice C. Niemeyer This is my paper

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keywords familyhemisystemsparabolicadmitcongconstructionconstuctfirst

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We constuct a family of hemisystems of the parabolic quadric $\mathcal{Q}(2d, q)$, for all ranks $d \ge 2$ and all odd prime powers $q$, that admit $\Omega_3(q) \cong \mathrm{PSL}_2(q)$. This yields the first known construction for $d \ge 4$.

A family of hemisystems on the parabolic quadrics

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