Lou M. Pretorius (source code)

= Lou M. Pretorius
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<Lou M. Pretorius> worked with <Noam Elkies> and <Konrad J. Swanepoel> on <Sylvester-Gallai theorem> analogues over complex numbers and <quaternions>. The original byline verifies the printed name.<Sylvester-Gallai Theorems for Complex Numbers and Quaternions by Noam Elkies and others>[Title page]{ref}

They give an elementary complex-case proof and a quaternionic extension. Requiring a third configuration point on each pair's line forces containment in a low-dimensional projective flat, with different bounds over different scalar systems.<Sylvester-Gallai Theorems for Complex Numbers and Quaternions by Noam Elkies and others>[Abstract]{ref}