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arXiv · 1803.08520

A Generalization of von Staudt's Theorem on Cross-Ratios

Yatir Halevi·Itay Kaplan
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Abstract

A generalization of von Staudt's theorem that every permutation of the projective line that preserves harmonic quadruples is a projective semilinear map is given. It is then concluded that any proper supergroup of permutations of the projective semilinear group over an algebraically closed field of transcendence degree at least 1 is 4-transitive.

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Yatir Halevi, Itay Kaplan. 2018-03-22. A Generalization of von Staudt's Theorem on Cross-Ratios. https://arxiv.org/abs/1803.08520

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