TY - JOUR
ID - 31160
TI - ON THE STRUCTURE OF FINITE
PSEUDO- COMPLEMENTS OF
QUADRILATERALS AND THEIR
EMBEDDABILITY
JO - Journal of Sciences, Islamic Republic of Iran
JA - JSCIENCES
LA - en
SN - 1016-1104
Y1 - 1993
PY - 1993
VL - 4
IS - 1
SP -
EP -
DO -
N2 - A pseudo-complement of a quadrilateral D of order n, n, > 3, is a non-trivial (n+l)-
regular linear space with n - 3n + 3 points and n + n - 3 lines. We prove that if n > 18
and D has at least one line of size n - 1, or if n > 25 , then the set of lines of D consists of
three lines of size n -1, 6(n - 2) lines of size n - 2, and n - 5n + 6 lines of size n - 3.
Furthermore, if n > 21 and D has at least one line of size n - 1, then D is embeddable in a
unique projective plane of order n. These results improve the results of the author
UR - https://jsciences.ut.ac.ir/article_31160.html
L1 - https://jsciences.ut.ac.ir/article_31160_2404132375eb45510dd90365c0b1caf5.pdf
ER -