Doubly transitive lines I: Higman pairs and roux

JW Iverson, DG Mixon - Journal of Combinatorial Theory, Series A, 2022 - Elsevier
We study lines through the origin of finite-dimensional complex vector spaces that enjoy a
doubly transitive automorphism group. In doing so, we make fundamental connections with …

Doubly transitive lines II: almost simple symmetries

JW Iverson, DG Mixon - arXiv preprint arXiv:1905.06859, 2019 - arxiv.org
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 …

[PDF][PDF] Doubly transitive lines II: Almost simple symmetries

JW Iverson, DG Mixon - Algebraic Combinatorics, 2024 - core.ac.uk
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 …