Symmetries and reversing symmetries of polynomial automorphisms of the plane
arXiv:math/0501151 · doi:10.1088/0951-7715/18/2/017
Abstract
The polynomial automorphisms of the affine plane over a field K form a group which has the structure of an amalgamated free product. This well-known algebraic structure can be used to determine some key results about the symmetry and reversing symmetry groups of a given polynomial automorphism.
27 pages, AMS-Latex