Abstract
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 language | English |
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| Pages (from-to) | 181-214 |
| Journal | Advances in Geometry |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2004 |