Homologies in collineation groups of finite projective planes. II

1972 ◽  
Vol 125 (4) ◽  
pp. 338-348 ◽  
Author(s):  
Julia M. Nowlin Brown
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes ◽  
Collineation Groups

On Baer Involutions of Finite Projective Planes

1970 ◽  
Vol 22 (4) ◽  
pp. 878-880 ◽  
Author(s):  
Judita Cofman
Keyword(s):  
Projective Plane ◽  
Finite Projective Plane ◽  
Projective Planes ◽  
Desarguesian Projective Plane ◽  
Finite Projective Planes ◽  
Special Cases ◽  
Collineation Groups ◽  
Baer Involution ◽  
Finite Desarguesian Projective Plane

1. An involution of a projective plane π is a collineation X of π such that λ2 = 1. Involutions play an important röle in the theory of finite projective planes. According to Baer [2], an involution λ of a finite projective plane of order n is either a perspectivity, or it fixes a subplane of π of order in the last case, λ is called a Baer involution.While there are many facts known about collineation groups of finite projective planes containing perspectivities (see for instance [4; 5]), the investigation of Baer involutions seems rather difficult. The few results obtained about planes admitting Baer involutions are restricted only to special cases. Our aim in the present paper is to investigate finite projective planes admitting a large number of Baer involutions. It is known (see for instance [3, p. 401]) that in a finite Desarguesian projective plane of square order, the vertices of every quadrangle are fixed by exactly one Baer involution.

Quasiregular collineation groups of finite projective planes

1967 ◽  
Vol 99 (1) ◽  
pp. 53-75 ◽  
Author(s):  
Peter Dembowski ◽  
Fred Piper
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes ◽  
Collineation Groups

Collineation groups of finite projective planes

1964 ◽  
Vol 83 (5) ◽  
pp. 409-421 ◽  
Author(s):  
Richard Roth
Keyword(s):  
Projective Planes ◽  
Finite Projective Planes ◽  
Collineation Groups
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