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

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  • Ghent University


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 languageEnglish
Number of pages18
JournalGeometriae Dedicata
Early online date19 Oct 2018
Publication statusE-pub ahead of print - 19 Oct 2018


  • Extended ternary Golay code, Hyperplane, Mathieu group M, Near hexagon

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