Normal subgroup generated by a plane polynomial automorphism
Group Theory
2018-04-24 v2 Algebraic Geometry
Abstract
We study the normal subgroup <f> 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 <f> = G. On the other hand if f is a sufficiently generic element of even length at least 14, we prove that <f> is a proper subgroup of G.
Cite
@article{arxiv.0910.1616,
title = {Normal subgroup generated by a plane polynomial automorphism},
author = {Jean-Philippe Furter and Stéphane Lamy},
journal= {arXiv preprint arXiv:0910.1616},
year = {2018}
}
Comments
Some minor corrections