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Doubly transitive lines II: Almost simple symmetries (1905.06859v2)
Published 15 May 2019 in math.CO, cs.IT, math.GR, math.IT, math.MG, and math.RT
Abstract: 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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