The Abelianisation of the real Cremona group

Zimmermann, Susanna. (2015) The Abelianisation of the real Cremona group. Preprints Fachbereich Mathematik, 2015 (34).

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We present the Abelianisation of the birational transformations of $\mathbb{P}_{\mathbb{R}}^2$. Its kernel is equal to the normal subgroup generated by $PGL_3(\mathbb{R})$, and contains all elements of degree $\le 4$. The description of the quotient yields the existence of normal subgroups of index $2^n$ for any n and that the normal subgroup generated by any countable set of elements is a proper subgroup.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebra (Blanc)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Zimmermann, Susanna
Item Type:Preprint
Publisher:Universität Basel
Last Modified:12 May 2019 21:44
Deposited On:28 Mar 2019 09:51

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