Finite orbits for nilpotent actions on the torus
Dynamical Systems
2022-03-25 v3
Abstract
A homeomorphism of the -torus with Lefschetz number different from zero has a fixed point. We give a version of this result for nilpotent groups of diffeomorphisms. We prove that a nilpotent group of -torus diffeomorphims has finite orbits when the group has some element with Lefschetz number different from zero.
Cite
@article{arxiv.1603.04013,
title = {Finite orbits for nilpotent actions on the torus},
author = {Sebastião Firmo and Javier Ribón},
journal= {arXiv preprint arXiv:1603.04013},
year = {2022}
}
Comments
15 pages