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

16-dimensional compact projective planes with a collineation group of dimension ≥ 35

2008 ◽  
Vol 90 (3) ◽  
pp. 284-288
Author(s):  
Helmut Salzmann
Keyword(s):  
Collineation Group ◽  
Projective Planes ◽  
Compact Projective Planes

4-Dimensional compact projective planes with small nilradical

1995 ◽  
Vol 58 (1) ◽  
pp. 53-62
Author(s):  
Hauke Klein
Keyword(s):  
Projective Planes ◽  
Compact 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.

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.

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
Sign in / Sign up

Export Citation Format

Share Document