On m-ovoids of regular near polygons

John Bamberg; Jesse Lansdown; Melissa Lee

doi:10.1007/s10623-017-0373-1

On m-ovoids of regular near polygons

John Bamberg, Jesse Lansdown, Melissa Lee

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

4 Citations (Scopus)

120 Downloads (Pure)

Abstract

We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb 34(3):357–373, 2011) by showing that nontrivial m-ovoids of the dual polar spaces (Formula presented.), (Formula presented.) and (Formula presented.) ((Formula presented.)) are hemisystems. We also provide a more general result that holds for regular near polygons.

Original language	English
Pages (from-to)	997-1006
Journal	Designs, Codes, and Cryptography
Volume	86
Issue number	5
DOIs	https://doi.org/10.1007/s10623-017-0373-1
Publication status	Published - 1 May 2018

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10.1007/s10623-017-0373-1

Bamberg et.al., 2017 On m-ovoids of regular near polygons
The final publication is available at Springer via http://dx.doi.org/10.1007/s10623-017-0373-1
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AU - Lansdown, Jesse

AU - Lee, Melissa

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N2 - We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb 34(3):357–373, 2011) by showing that nontrivial m-ovoids of the dual polar spaces (Formula presented.), (Formula presented.) and (Formula presented.) ((Formula presented.)) are hemisystems. We also provide a more general result that holds for regular near polygons.

AB - We generalise the work of Segre (Ann Mat Pura Appl 4(70):1–201, 1965), Cameron et al. (J Algebra 55(2):257–280, 1978), and Vanhove (J Algebr Comb 34(3):357–373, 2011) by showing that nontrivial m-ovoids of the dual polar spaces (Formula presented.), (Formula presented.) and (Formula presented.) ((Formula presented.)) are hemisystems. We also provide a more general result that holds for regular near polygons.

KW - Dual polar space

KW - Hemisystem

KW - Regular near polygon

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UR - https://arxiv.org/abs/1612.07187

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ER -

On m-ovoids of regular near polygons

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Finite geometry from an algebraic point of view

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On m-ovoids of regular near polygons

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Finite geometry from an algebraic point of view

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