Line-transitive, point quasiprimitive automorphism groups of finite linear spaces are affine or almost simple

2001 ◽  
Vol 61 (3) ◽  
pp. 221-232 ◽  
Author(s):  
A. R. Camina ◽  
C. E. Praeger
Keyword(s):  
Automorphism Groups ◽  
Linear Spaces ◽  
Transitive Point ◽  
Finite Linear

Line-transitive point-imprimitive linear spaces with number of points being a product of two primes

2017 ◽  
Vol 16 (06) ◽  
pp. 1750110
Author(s):  
Haiyan Guan ◽  
Shenglin Zhou
Keyword(s):  
Linear Space ◽  
Automorphism Groups ◽  
Linear Spaces ◽  
Finite Linear Space ◽  
Transitive Point ◽  
Finite Linear

The work studies the line-transitive point-imprimitive automorphism groups of finite linear spaces, and is underway on the situation when the numbers of points are products of two primes. Let [Formula: see text] be a non-trivial finite linear space with [Formula: see text] points, where [Formula: see text] and [Formula: see text] are two primes. We prove that if [Formula: see text] is line-transitive point-imprimitive, then [Formula: see text] is solvable.

scholarly journals Line-transitive point-imprimitive linear spaces: the grid case

2008 ◽  
Vol 8 (1) ◽  
pp. 117-135 ◽  
Author(s):  
Anton Betten ◽  
Gregory Cresp ◽  
Cheryl Praeger
Keyword(s):  
Linear Spaces ◽  
Transitive Point
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