A family of hemisystems on the parabolic quadrics

Jesse Lansdown; Alice C. Niemeyer

doi:10.1016/j.jcta.2020.105280

A family of hemisystems on the parabolic quadrics

Jesse Lansdown, Alice C. Niemeyer

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Article number	105280
Journal	Journal of Combinatorial Theory. Series A
Volume	175
DOIs	https://doi.org/10.1016/j.jcta.2020.105280
Publication status	Published - Oct 2020

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title = "A family of hemisystems on the parabolic quadrics",

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.",

keywords = "Hemisystem, Parabolic quadric, Polar space",

author = "Jesse Lansdown and Niemeyer, {Alice C.}",

year = "2020",

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AU - Lansdown, Jesse

AU - Niemeyer, Alice C.

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N2 - 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.

AB - 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.

KW - Hemisystem

KW - Parabolic quadric

KW - Polar space

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U2 - 10.1016/j.jcta.2020.105280

DO - 10.1016/j.jcta.2020.105280

M3 - Article

AN - SCOPUS:85086092077

SN - 0097-3165

VL - 175

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

M1 - 105280

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A family of hemisystems on the parabolic quadrics

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