The hyperplanes of the near hexagon related to the extended ternary Golay code

Bart De Bruyn; Sergey Shpectorov

doi:10.1007/s10711-018-0400-z

The hyperplanes of the near hexagon related to the extended ternary Golay code

Bart De Bruyn
, Sergey Shpectorov^*

^*Corresponding author for this work

Mathematics

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

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Abstract

We prove that the near hexagon associated with the extended ternary Golay code has, up to isomorphism, 25 hyperplanes, and give an explicit construction for each of them. As a main tool in the proof, we show that the classification of these hyperplanes is equivalent to the determination of the orbits on vectors of certain modules for the group 2 · M₁₂.

Original language	English
Number of pages	18
Journal	Geometriae Dedicata
Early online date	19 Oct 2018
DOIs	https://doi.org/10.1007/s10711-018-0400-z
Publication status	E-pub ahead of print - 19 Oct 2018

Keywords

Extended ternary Golay code
Hyperplane
Mathieu group M
Near hexagon

ASJC Scopus subject areas

Geometry and Topology

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Bart_De_Bruyn_&_Sergey_Shpectorov_The_hyperplanes_of_the_near_hexagon_related_to_the_extended_ternary_Golay_code_Geometriae_Dedicata_2018
Checked for eligibility: 14/11/2018 This is a post-peer-review, pre-copyedit version of an article published in Geometriae Dedicata. The final authenticated version is available online at: http://dx.doi.org/10.1007/s10711-018-0400-z
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Cite this

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KW - Mathieu group M

KW - Near hexagon

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The hyperplanes of the near hexagon related to the extended ternary Golay code

Abstract

Keywords

ASJC Scopus subject areas

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