Central collineations and the parallel axiom in stable planes

1981 ◽  
Vol 10 (1-4) ◽  
pp. 283-315 ◽  
Author(s):  
Rainer L�wen
Keyword(s):  
Central Collineations ◽  
Stable Planes

Stable Planes Admitting a Classical Motion Group

1986 ◽  
Vol 9 (1-2) ◽  
pp. 119-130 ◽  
Author(s):  
Rainer Löwen
Keyword(s):  
Motion Group ◽  
Classical Motion ◽  
Stable Planes

scholarly journals A homomorphism theorem for projective planes

1971 ◽  
Vol 4 (2) ◽  
pp. 155-158 ◽  
Author(s):  
Don Row
Keyword(s):  
Projective Plane ◽  
Homomorphic Image ◽  
Inverse Image ◽  
Projective Planes ◽  
Homomorphism Theorem ◽  
Central Collineations

We prove that a non-degenerate homomorphic image of a projective plane is determined to within isomorphism by the inverse image of any one point. An application gives conditions for the preservation of central collineations by a homomorphism.

Stable planes with isotropic points

1983 ◽  
Vol 182 (1) ◽  
pp. 49-61 ◽  
Author(s):  
Rainer L�wen
Keyword(s):  
Stable Planes
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