PSL(2,C), the exponential and some new free groups
Dynamical Systems
2017-06-15 v2 Classical Analysis and ODEs
Group Theory
Logic
Abstract
We prove a normal form result for the groupoid of germs generated by PSL(2,C) and the exponential map. As consequences, we generalize a result of Cohen about the group of translations and powers, and prove that the subgroup of Homeo(R,+infinity) generated by the positive affine maps and the exponential map is isomorphic to a HNN-extension.
Cite
@article{arxiv.1509.00783,
title = {PSL(2,C), the exponential and some new free groups},
author = {Daniel Panazzolo},
journal= {arXiv preprint arXiv:1509.00783},
year = {2017}
}
Comments
47 pages, revised and corrected version accepted for publication