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Preprint Number 1401

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1401. Yatir Halevi and Itay Kaplan
A Generalization of von Staudt's Theorem on Cross-Ratios
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Submission date: 22 March 2018

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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Full text arXiv 1803.08520: pdf, ps.


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