A family of hemisystems on the parabolic quadrics

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:175

Article

Lansdown, Jesse^1,2  Niemeyer, Alice C.² 

[1] Univ Western Australia, Ctr Math Symmetry & Computat, Sch Math & Stat, Nedlands, WA, Australia

[2] Rhein Westfal TH Aachen, Lehr & Forsch Gebiet Algebra, Lehrstuhl Algebra & Darstellungstheorie, Aachen, Germany

关键词: Hemisystem;    Parabolic quadric;    Polar space;   

DOI  :  10.1016/j.jcta.2020.105280

来源: Elsevier

【 摘 要 】

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 Omega(3)(q) congruent to PSL2(q). This yields the first known construction for d >= 4. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free