# Optimal Line Packings from Nonabelian Groups

@article{Iverson2020OptimalLP, title={Optimal Line Packings from Nonabelian Groups}, author={Joseph W. Iverson and John Jasper and Dustin G. Mixon}, journal={Discrete & Computational Geometry}, year={2020}, volume={63}, pages={731-763} }

We use group schemes to construct optimal packings of lines through the origin. In this setting, optimal line packings are naturally characterized using representation theory, which in turn leads to a necessary integrality condition for the existence of equiangular central group frames. We conclude with an infinite family of optimal line packings using the group schemes associated with certain Suzuki 2-groups, specifically, extensions of Heisenberg groups. Notably, this is the first known… CONTINUE READING

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## Packings in real projective spaces

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## Doubly transitive lines I: Higman pairs and roux

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## A Short Introduction to Optimal Line Packings

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## Doubly transitive lines II: Almost simple symmetries

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## Spark deficient Gabor frames

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## C O ] 1 5 M ay 2 01 9 Doubly transitive lines II : Almost simple symmetries

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