The uniqueness of the near hexagon on 729 points

A.E. Brouwer

doi:10.1007/BF02579429

The uniqueness of the near hexagon on 729 points

A.E. Brouwer

Research output: Contribution to journal › Article › Academic › peer-review

16 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	333-340
Number of pages	8
Journal	Combinatorica
Volume	2
Issue number	4
DOIs	https://doi.org/10.1007/BF02579429
Publication status	Published - 1982

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title = "The uniqueness of the near hexagon on 729 points",

abstract = "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.",

author = "A.E. Brouwer",

year = "1982",

doi = "10.1007/BF02579429",

language = "English",

volume = "2",

pages = "333--340",

journal = "Combinatorica",

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AU - Brouwer, A.E.

PY - 1982

Y1 - 1982

N2 - 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.

AB - 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.

U2 - 10.1007/BF02579429

DO - 10.1007/BF02579429

M3 - Article

SN - 0209-9683

VL - 2

SP - 333

EP - 340

JO - Combinatorica

JF - Combinatorica

IS - 4

ER -

The uniqueness of the near hexagon on 729 points

Abstract

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