Non simplicit\'e du groupe de Cremona sur tout corps
Algebraic Geometry
2020-05-13 v3 Group Theory
Abstract
Using a theorem of Dahmani, Guirardel and Osin we prove that the Cremona group in 2 dimension is not simple, over any field. More precisely, we show that some elements of this group satisfy a weakened WPD property which is equivalent in our particular context to the Bestvina and Fujiwara's one.
Cite
@article{arxiv.1503.03731,
title = {Non simplicit\'e du groupe de Cremona sur tout corps},
author = {Anne Lonjou},
journal= {arXiv preprint arXiv:1503.03731},
year = {2020}
}
Comments
In French. An English version is available on the webpage of the author