Finite Line-transitive Linear Spaces:Theory and Search Strategies Anton BETTEN Anne DELANDTSHEER Maska LAW Alice C.NIEMEYER Cheryl E.PRAEGER Shenglin ZHOU The paper summarises existing theory and classifications for finite line-transitive linear spaces,develops the theory further,and organises it in a way that enables its effective application.The starting point is a theorem of Camina and the fifth author that identifies three kinds of line-transitive automorphism groups of linear spaces.In two of these cases the group may be imprimitive on points.that is.the group leaves invariant a nontrivial partition of the Finite Line-transitive Linear Spaces: Theory and Search Strategies Anton BETTEN Anne DELANDTSHEER Maska LAW Alice C. NIEMEYER Cheryl E. PRAEGER Shenglin ZHOU The paper summarises existing existing and classifications for finite line-transitive linear spaces, develops the theory further, and organises it in a way that enables its effective application.The starting point is a theorem of Camina and the fifth author that identifies three kinds of line-transitive automorphism groups of linear spaces.In two of these cases the group may be imprimitive on points.that is the group leaves invariant a nontrivial partition of the