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

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

For a fixed integer k, all but a finite number of line-transitive linear spaces with lines of size k are point-primitive.In this paper, we study the finite class of examples where a line-transitive group is point-imprimitive, that is, preserves a non-trivial partition of the point set.We restrict to the case …