Partial linear spaces with a rank 3 affine primitive group of automorphisms

A partial linear space is a pair $(\mathcal{P},\mathcal{L})$ where $\mathcal{P}$ non-empty set of points and $\mathcal{L}$ collection subsets called lines such that any two distinct are contained in at most one line, every line contains least points. proper when it not or graph. group automorphisms $G$ acts transitively on ordered pairs collinear non-collinear precisely transitive rank 3 In this paper, we classify the finite spaces admit affine primitive automorphism groups, except for certain families small including subgroups $A\Gamma L_1(q)$. Up to these exceptions, completes classification admitting groups. We also provide more detailed version permutation which may be independent interest.