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

Bart De Bruyn, Sergey Shpectorov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish
Number of pages18
JournalGeometriae Dedicata
Early online date19 Oct 2018
DOIs
Publication statusE-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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