The uniqueness of the near hexagon on 729 points


We prove that any regular near hexagon with 729 vertices and lines of size 3 is derived from the ternary Golay code, thus settling the last case in doubt among the regular near hexagons with lines of size 3.

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Brouwer, A.E. The uniqueness of the near hexagon on 729 points. Combinatorica 2, 333–340 (1982).

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AMS subject classification (1980)

  • 05 B 30
  • 51 E 10
  • 94 B 25