One-point extensions of generalized hexagons and octagons
نویسندگان
چکیده
In this note, we prove the uniqueness of the one-point extension S of a generalized hexagon of order 2 and prove the non-existence of such an extension S of any other finite generalized hexagon of classical order, different from the one of order 2, and of the known finite generalized octagons provided the following property holds: for any three points x, y and z of S, the graph theoretic distance from y to z in the derived generalized hexagon Sx is the same as the distance from x to z in Sy. Mathematics Subject Classification 2000: 51E12.
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عنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 26 شماره
صفحات -
تاریخ انتشار 2006