The decomposition group of a line in the plane
Hedénhed´hedén, Isac ; Zimmermann, Susanna ; Hedén, Isac
HAL, hal-01720159 / Harvested from HAL
Text on HAL
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.
Publié le : 2017-09-01
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] 
@article{hal-01720159,
     author = {Hed\'enhed\'{}hed\'en, Isac and Zimmermann, Susanna and Hed\'en, Isac},
     title = {The decomposition group of a line in the plane},
     journal = {HAL},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01720159}
}

Hedénhed´hedén, Isac; Zimmermann, Susanna; Hedén, Isac. The decomposition group of a line in the plane. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01720159/