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Abstract for Alan R Camina and Susanne Mischke, Line-transitive Automorphism Groups of Linear Spaces

In this paper we  prove the following theorem. 

\noindent
{\it Let {$\cal S$ } be a linear space. Assume that {$\cal S$ } has an automorphism group $G$ 
which is line-transitive and point-imprimitive with $k<9$. 
Then {$\cal S$ } is one of the following:- 

\noindent
(a) A projective plane of order $4$ or $7$, 

\noindent
(a) One of $2$ linear spaces with $v=91$ and $k=6$,

\noindent
(b) One of $467$ linear spaces with $v=729$ and $k=8$. 

In all cases the full automorphism group Aut(${\cal S} \!$) is known.}

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