Flat projective planes with 2-dimensional collineation group fixing at least two lines and more than two points

1990 ◽  
Vol 38 (1-2) ◽  
pp. 107-157 ◽  
Author(s):  
Hans-Joachim Pohl
Keyword(s):  
Collineation Group ◽  
Projective Planes

A Class of Non-Desarguesian Projective Planes

1957 ◽  
Vol 9 ◽  
pp. 378-388 ◽  
Author(s):  
D. R. Hughes
Keyword(s):  
Positive Integer ◽  
Projective Plane ◽  
Collineation Group ◽  
Difference Sets ◽  
Projective Planes ◽  
Desarguesian Projective Plane ◽  
Desarguesian Plane ◽  
Desarguesian Projective Planes

In (7), Veblen and Wedclerburn gave an example of a non-Desarguesian projective plane of order 9; we shall show that this plane is self-dual and can be characterized by a collineation group of order 78, somewhat like the planes associated with difference sets. Furthermore, the technique used in (7) will be generalized and we will construct a new non-Desarguesian plane of order p2n for every positive integer n and every odd prime p.

Four-Dimensional Compact Projective Planes with Collineation Group N6,28

1995 ◽  
Vol 28 (1-2) ◽  
pp. 100-116
Author(s):  
Hauke Klein
Keyword(s):  
Collineation Group ◽  
Projective Planes ◽  
Compact Projective Planes

scholarly journals The nonexistence of projective planes of order 12 with a collineation group of order 16

2004 ◽  
Vol 107 (1) ◽  
pp. 21-48 ◽  
Author(s):  
Chihiro Suetake
Keyword(s):  
Collineation Group ◽  
Projective Planes

The nonexistence of projective planes of order 12 with a collineation group of order 8

2008 ◽  
Vol 16 (5) ◽  
pp. 411-430 ◽  
Author(s):  
Kenzi Akiyama ◽  
Chihiro Suetake
Keyword(s):  
Collineation Group ◽  
Projective Planes

scholarly journals Generalization of Hall planes of odd order

1971 ◽  
Vol 4 (2) ◽  
pp. 205-209 ◽  
Author(s):  
P.B. Kirkpatrick
Keyword(s):  
Collineation Group ◽  
Projective Planes ◽  
Odd Order

Some properties of projective planes having a certain type of collineation group are proved, and a class of these planes which properly contains the class of all Hall planes of odd order is explicitly constructed.

scholarly journals Projective Planes with a Regular Collineation Group and a Question about Powers of a Prime

1993 ◽  
Vol 154 (1) ◽  
pp. 141-151 ◽  
Author(s):  
C.Y. Ho
Keyword(s):  
Collineation Group ◽  
Projective Planes

Projective planes with non-abelian simple collineation group fixing an oval

1993 ◽  
Vol 60 (3) ◽  
pp. 300-304 ◽  
Author(s):  
Mauro Biliotti ◽  
G�bor Korchm�ros
Keyword(s):  
Collineation Group ◽  
Projective Planes
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