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arXiv · 1905.06859

Doubly transitive lines II: Almost simple symmetries

Joseph W. Iverson·Dustin G. Mixon
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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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BibTeXRIS

Joseph W. Iverson, Dustin G. Mixon. 2022-12-23. Doubly transitive lines II: Almost simple symmetries. https://arxiv.org/abs/1905.06859

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