On finite line transitive affine planes

1973 ◽  
Vol 1 (4) ◽  
Author(s):  
Christoph Hering
Keyword(s):  
Affine Planes ◽  
Finite Line ◽  
Transitive Affine

On Finite Line Transitive Affine Planes Whose Collineation Groups Contain no Baer Involutions

1975 ◽  
Vol 27 (2) ◽  
pp. 225-230
Author(s):  
Terry Czerwinski
Keyword(s):  
Simple Group ◽  
Translation Plane ◽  
Collineation Group ◽  
Affine Plane ◽  
Composition Factor ◽  
Finite Plane ◽  
Affine Planes ◽  
Collineation Groups ◽  
Finite Line ◽  
Transitive Affine

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.

On point-transitive affine planes

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

scholarly journals Odd order flag-transitive affine planes of dimension three over their kernel

2003 ◽  
Vol 3 (s1) ◽  
Author(s):  
Ronald D. Baker ◽  
C. Culbert ◽  
Gary L. Ebert ◽  
Keith E. Mellinger
Keyword(s):  
Affine Planes ◽  
Odd Order ◽  
Transitive Affine

On flag-transitive affine planes of orderq 3

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

scholarly journals New Flag-Transitive Affine Planes of Even Order

1996 ◽  
Vol 74 (1) ◽  
pp. 1-13 ◽  
Author(s):  
William M. Kantor ◽  
Michael E. Williams
Keyword(s):  
Affine Planes ◽  
Even Order ◽  
Transitive Affine

Transitive affine planes admitting elations

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

scholarly journals Finite Doubly Transitive Affine Planes

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

scholarly journals A Trace Conjecture and Flag-Transitive Affine Planes

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