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 | |
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