Extended near hexagons and line systems

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In this paper we study extended near hexagons, and classify a class of line systems in which two lines are either perpendicular, or make an angle a with cos a ¼G1=3. Among the examples we encounter a set of 2300 lines in R23 related to the second Conway group Co2 and a set of 2048 lines in R24 related to the group 21þ11 : M24. These line systems carry the structure of an extended near hexagon. The other line systems and extensions of near hexagons under consideration in this paper are all subsystems of these.
Original languageEnglish
Pages (from-to)181-214
JournalAdvances in Geometry
Issue number2
Publication statusPublished - 2004


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