Normal subgroup generated by a plane polynomial automorphism

Details Normal subgroup generated by a plane polynomial automorphism Normal subgroup generated by a plane polynomial automorphism

2009-10-08

arxiv.org/abs/0910.1616v2

Mathematics

Group Theory

Some minor corrections

Scientific paper

We study the normal subgroup generated by a non trivial element f in the group G of complex plane polynomial automorphisms having Jacobian determinant 1. On one hand if f has length at most 8 relatively to the classical amalgamated product structure of G, we prove that = G. On the other hand if f is a sufficiently generic element of even length at least 14, we prove that is a proper subgroup of G.

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