no. 3
The real plane Cremona group is an amalgamated product
[Sur l’un des premiers problèmes de Wiles]
Zimmermann, Susanna1
1 Univ Angers, CNRS, LAREMA, SFR MATHSTIC, F-49000 Angers, France
Annales de l'Institut Fourier, Tome 71 (2021) no. 3, pp. 1023-1045.

On montre que le groupe de Cremona du plan réel est un produit amalgamé non-trivial de deux groupes le long de leur intersection et on donne une preuve alternative de son abélianisation.

We show that the real Cremona group of the plane is a non-trivial amalgam of two groups amalgamated along their intersection and give an alternative proof of its abelianisation.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/aif.3415
Classification : 14E07, 20F05, 14P99
Keywords: Cremona groups, amalgamated product
Mot clés : Groupe de Cremona, produit amalgamé
Zimmermann, Susanna 1

1 Univ Angers, CNRS, LAREMA, SFR MATHSTIC, F-49000 Angers, France 
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Zimmermann, Susanna. The real plane Cremona group is an amalgamated product. Annales de l'Institut Fourier, Tome 71 (2021) no. 3, pp. 1023-1045. doi : 10.5802/aif.3415. http://archive.numdam.org/articles/10.5802/aif.3415/

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