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 \(2 \cdot M_{12}\).
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De Bruyn, B., Shpectorov, S. The hyperplanes of the near hexagon related to the extended ternary Golay code. Geom Dedicata 202, 9–26 (2019). https://doi.org/10.1007/s10711-018-0400-z
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DOI: https://doi.org/10.1007/s10711-018-0400-z