Papers › Doubly transitive lines II: Almost simple symmetries
Doubly transitive lines II: Almost simple symmetries
Joseph W. Iverson, Dustin G. Mixon
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We study lines through the origin of finite-dimensional complex vector spaces that enjoy a doubly transitive automorphism group. This paper classifies those lines that exhibit almost simple symmetries. We introduce a general recipe involving Schur covers to recover doubly transitive lines from their automorphism group. Combining our results with recent work on the affine case by Dempwolff and Kantor, we deduce a classification of all linearly dependent doubly transitive lines in real or complex space.
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