Solvable Groups of Exponential Growth and HNN Extensions
Group Theory
2007-05-23 v2
Abstract
We prove the following version of Milnor's theorem on solvable groups of exponential growth: A finitely generated solvable group which is not polycyclic contains an ascending HNN extension. Consequently, a finitely generated solvable group is ERF iff it is polycyclic.
Cite
@article{arxiv.math/9912040,
title = {Solvable Groups of Exponential Growth and HNN Extensions},
author = {Roger Alperin},
journal= {arXiv preprint arXiv:math/9912040},
year = {2007}
}
Comments
to appear in Groups Korea-98, De Gruyter