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arXiv · 1503.03731

Non simplicité du groupe de Cremona sur tout corps

Anne Lonjou
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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.

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Anne Lonjou. 2016-09-14. Non simplicité du groupe de Cremona sur tout corps. https://doi.org/10.5802/aif.3056

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