Normal subgroup generated by a plane polynomial automorphism |
| |
Authors: | Jean-Philippe Furter Stéphane Lamy |
| |
Affiliation: | 1. Laboratoire MIA, Université de La Rochelle, Avenue M. Crépeau, 17042, La Rochelle cedex, France 2. Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
|
| |
Abstract: | We study the normal subgroup 〈f〉 N generated by an element f ≠ id in the group G of complex plane polynomial automorphisms having Jacobian determinant 1. On the one hand, if f has length at most 8 relative to the classical amalgamated product structure of G, we prove that 〈f〉 N = G. On the other hand, if f is a sufficiently generic element of even length at least 14, we prove that 〈f〉 N ≠ G. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|