Solvable Groups of Exponential Growth and HNN Extensions
Roger Alperin
math.GRarXiv:math/9912040
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.
Create a lesson
Related papers
Kleisli convolution representations of power monoids
Haicun Wen, Jian He, Yu-Zhe Liu
The Hurwitz Action in the Affine Symmetric Group
Patrick Wegener
Classification of Group Extensions
Claude Archer
A Determination of B-groups of Order p4
Christopher Herbig
A note on normal generation and the first 2-betti number
Sam P. Fisher, Yash Lodha
Asymptotic enumeration of minimally transitive permutation groups
Binzhou Xia, Shasha Zheng