A generalisation of von Staudt's theorem on cross-ratios

Yatir Halevi; Itay Kaplan

doi:https://doi.org/10.1017/S0305004119000021

A generalisation of von Staudt's theorem on cross-ratios

Yatir Halevi, Itay Kaplan

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

A generalisation 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.

Original language	American English
Pages (from-to)	601-612
Number of pages	12
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	168
Issue number	3
DOIs	https://doi.org/10.1017/S0305004119000021
State	Published - 1 Jan 2020

Keywords

2010 Mathematics Subject Classification: 14N99 20B27 20E28

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1017/S0305004119000021

Cite this

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abstract = "A generalisation 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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A generalisation of von Staudt's theorem on cross-ratios

Abstract

Keywords

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