A family of hemisystems on the parabolic quadrics

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Abstract

We construct a family of hemisystems of the parabolic quadric Q(2d,q), for all ranks d⩾2 and all odd prime powers q, that admit Ω3(q)≅PSL2(q). This yields the first known construction for d⩾4.

Original languageEnglish
Article number105280
JournalJournal of Combinatorial Theory. Series A
Volume175
DOIs
Publication statusPublished - Oct 2020

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