Linear representations of projective planes in projective spaces
نویسندگان
چکیده
منابع مشابه
Finite linear spaces and projective planes
In 1948, De Bruijn and Erdös proved that a finite linear space on v points has at least v lines, with equality occurring if and only if the space is either a near-pencil (all points but one collinear) or a projective plane . In this paper, we study finite linear spaces which are not near-pencils . We obtain a lower bound for the number of lines (as a function of the number of points) for such l...
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The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse containment), i.e., 1 is the dual of the double of 6 in the sense of H. Van Maldeghem (1998, ``General...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1966
ISSN: 0021-8693
DOI: 10.1016/0021-8693(66)90054-8