Smooth projective translation planes

1995 ◽  
Vol 58 (2) ◽  
pp. 203-212 ◽  
Author(s):  
Joachim Otte
Keyword(s):  
Translation Planes ◽  
Projective Translation

Congruence-Preserving Isomorphisms of the Translation Group associated with a Translation Plane

1971 ◽  
Vol 23 (2) ◽  
pp. 214-221 ◽  
Author(s):  
F. Radó
Keyword(s):  
Abelian Group ◽  
Translation Plane ◽  
Translation Planes ◽  
Translation Group ◽  
Image Position ◽  
Injective Map ◽  
Projective Translation

Let II, II′ be projective translation planes, their sets of points, l∞, l∞′ the improper lines, and T, T′ the corresponding translation groups. T is an Abelian group, simply transitive on . The set of the subgroups Ts = {τ|τ ∈ T, cen τ = S} for all S ∈ l∞ is called the congruence of II (cen τ = centre of τ). An injective map , where , is said to be a collineation of when and three points in are collinear if and only if their images are collinear; the set of these φ is denoted by and for we write

Classification of Projective Translation Planes of Order q2 Admitting a Two-Transitive Orbit of Length q + 1

2008 ◽  
Vol 90 (1-2) ◽  
pp. 100-140 ◽  
Author(s):  
Mauro Biliotti ◽  
Vikram Jha ◽  
Norman L. Johnson ◽  
Alessandro Montinaro
Keyword(s):  
Translation Planes ◽  
Projective Translation

Translation planes admitting many homologies

1994 ◽  
Vol 49 (1-2) ◽  
pp. 117-149 ◽  
Author(s):  
Norman L. Johnson ◽  
Rolando Pomareda
Keyword(s):  
Translation Planes

scholarly journals On Transposed Translation Planes

2012 ◽  
Vol 02 (01) ◽  
pp. 35-43
Author(s):  
K. Satyanarayana ◽  
K. V. V. N. S. Sundari Kameswari
Keyword(s):  
Translation Planes
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