A Characterization of the Hughes Planes
1965 ◽
Vol 17
◽
pp. 916-922
◽
Baer (1) introduced the term "(p,L)-collineation" to denote a central collineation with centre p and axis L. We shall find it convenient to use a modification of the related notion of "(p, L)-transitivity."Definition. Let π0 be a subplane of the projective plane π. Let L be a fixed line of π0, and let p be a fixed point of π0. Let r and s be any two points of π0 that are collinear with p, distinct from p, and not on L. If, for each such choice of r and s, there is a (p, L)-collineation of π that (1) carries π0 into itself and (2) carries r into s, we shall say that π is (p, L, π0)-transitive.
1974 ◽
Vol 26
(02)
◽
pp. 257-272
◽
Keyword(s):
Keyword(s):
Keyword(s):
Keyword(s):
1991 ◽
Vol 40
(2)
◽
pp. 73-78
◽
2015 ◽
Vol 2015
(1)
◽