An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through a point P∉l which are parallel to l is a number in the set A . In the paper under review the case A={1,2,3} is completely solved. In fact, the authors show by direct arguments that every finite {1,2,3}-semiaffine plane is naturally embeddable into a finite projective plan
On finite (1,2,3) -semiaffine planes / Olanda, Domenico; LO RE, PIA MARIA. - In: JOURNAL OF GEOMETRY. - ISSN 0047-2468. - STAMPA. - 30:1(1987), pp. 85-102.
On finite (1,2,3) -semiaffine planes.
OLANDA, DOMENICO;LO RE, PIA MARIA
1987
Abstract
An A -semiaffine plane is a linear space with the property that the number π(P,l) of lines through a point P∉l which are parallel to l is a number in the set A . In the paper under review the case A={1,2,3} is completely solved. In fact, the authors show by direct arguments that every finite {1,2,3}-semiaffine plane is naturally embeddable into a finite projective planFile in questo prodotto:
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