On finite line transitive affine planes

1973 ◽  
Vol 1 (4) ◽  
Author(s):  
Christoph Hering
1975 ◽  
Vol 27 (2) ◽  
pp. 225-230
Author(s):  
Terry Czerwinski

A finite line transitive affine plane A is a finite plane which admits a collineation group G acting transitively on the set of all lines of A. Wagner [11] has shown that A is a translation plane and Hering [9] recently investigated the structure of A under the assumption that G has a composition factor isomorphic to a given nonabelian simple group. The purpose of this paper is to show that if the number of points on a line of A is odd, and if G contains no Baer involutions, then the hypothesis of Hering's Main Theorem holds.


1982 ◽  
Vol 42 (3) ◽  
pp. 227-234 ◽  
Author(s):  
William M. Kantor

2003 ◽  
Vol 3 (s1) ◽  
Author(s):  
Ronald D. Baker ◽  
C. Culbert ◽  
Gary L. Ebert ◽  
Keith E. Mellinger

1994 ◽  
Vol 51 (2) ◽  
pp. 123-131 ◽  
Author(s):  
Chihiro Suetake

1996 ◽  
Vol 74 (1) ◽  
pp. 1-13 ◽  
Author(s):  
William M. Kantor ◽  
Michael E. Williams

1983 ◽  
Vol 21 (1) ◽  
pp. 59-65 ◽  
Author(s):  
J. B. Fink ◽  
N. L. Johnson ◽  
F. W. Wilke

1998 ◽  
Vol 83 (1) ◽  
pp. 165-168
Author(s):  
Vikram Jha ◽  
Norman L. Johnson

2001 ◽  
Vol 95 (1) ◽  
pp. 158-168 ◽  
Author(s):  
R.D. Baker ◽  
G.L. Ebert ◽  
K.H. Leung ◽  
Q. Xiang

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