Exceptional presentations of three generalized hexagons of order 2

A.M. Cohen

doi:10.1016/0097-3165(83)90028-6

Exceptional presentations of three generalized hexagons of order 2

A.M. Cohen

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Abstract

The generalized hexagons associated with L3(2), U3(3), 3D4(2), respectively, are presented as subconfigurations of the projective plane over the complex, quaternionic, octonionic field, respectively. This leads to an embedding of Aut 3D4(2) in the Lie group of type F4(R).

Original language	English
Pages (from-to)	79-88
Number of pages	10
Journal	Journal of Combinatorial Theory, Series A
Volume	35
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(83)90028-6
Publication status	Published - 1983

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title = "Exceptional presentations of three generalized hexagons of order 2",

abstract = "The generalized hexagons associated with L3(2), U3(3), 3D4(2), respectively, are presented as subconfigurations of the projective plane over the complex, quaternionic, octonionic field, respectively. This leads to an embedding of Aut 3D4(2) in the Lie group of type F4(R).",

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AB - The generalized hexagons associated with L3(2), U3(3), 3D4(2), respectively, are presented as subconfigurations of the projective plane over the complex, quaternionic, octonionic field, respectively. This leads to an embedding of Aut 3D4(2) in the Lie group of type F4(R).

U2 - 10.1016/0097-3165(83)90028-6

DO - 10.1016/0097-3165(83)90028-6

M3 - Article

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JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 1

ER -

Exceptional presentations of three generalized hexagons of order 2

Abstract

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