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Symmetries and reversing symmetries of polynomial automorphisms of the plane

Michael Baake·John A. G. Roberts
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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.

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Michael Baake, John A. G. Roberts. 2005-01-11. Symmetries and reversing symmetries of polynomial automorphisms of the plane. https://doi.org/10.1088/0951-7715%2F18%2F2%2F017

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