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In this paper we completely classify spreads of 2-dimensional subspaces of a6-dimensional vector space over a finite field of characteristic not two orthree upon which a cyclic group acts transitively. This addresses one of theremaining open cases in the classification of flag-transitive linear spaces. Weutilise the polynomial approach innovated by Pauley and Bamberg to obtain ourresults.

Cyclic 2-Spreads in $V(6,q)$ and Flag-Transitive Affine Linear Spaces