Transitivity on ordered pairs of lines in finite linear spaces

1984 ◽  
Vol 54 (1) ◽  
pp. 107-110 ◽  
Author(s):  
Anne Delandtsheer
Keyword(s):  
Linear Spaces ◽  
Finite Linear ◽  
Ordered Pairs

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 Symbolic incidence geometry and finite linear spaces

1994 ◽  
Vol 129 (1-3) ◽  
pp. 205-217 ◽  
Author(s):  
Johannes Ueberberg
Keyword(s):  
Incidence Geometry ◽  
Linear Spaces ◽  
Finite Linear

scholarly journals Finite linear spaces consisting of two symmetric configurations

2005 ◽  
Vol 40 (1) ◽  
pp. 139-147
Author(s):  
Vedran Krcadinac
Keyword(s):  
Linear Spaces ◽  
Finite Linear

scholarly journals Embedding finite linear spaces in projective planes, II

1987 ◽  
Vol 66 (3) ◽  
pp. 219-230 ◽  
Author(s):  
Albrecht Beutelspacher ◽  
Klaus Metsch
Keyword(s):  
Projective Planes ◽  
Linear Spaces ◽  
Finite Linear
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