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The decomposition group of a line in the plane

Hedén, Isac and Zimmermann, Susanna. (2016) The decomposition group of a line in the plane. Preprints Fachbereich Mathematik, 2016 (11).

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Abstract

We show that the decomposition group of a line L in the plane, i.e. the subgroup of plane birational transformations that send L to itself birationally, is generated by its elements of degree 1 and one element of degree 2, and that it does not decompose as a non-trivial amalgamated product.
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
Language:English
Last Modified:22 Apr 2019 22:12
Deposited On:28 Mar 2019 09:51

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