Symmetries and reversing symmetries of polynomial automorphisms of the plane

Details Symmetries and reversing symmetries of polynomial automorphisms of the plane Symmetries and reversing symmetries of polynomial automorphisms of the plane

2005-01-11

arxiv.org/abs/math/0501151v1

Mathematics

Dynamical Systems

27 pages, AMS-Latex

Scientific paper

10.1088/0951-7715/18/2/017

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.

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