Non proper HNN extensions and uniform uniform exponential growth
Group Theory
2009-09-16 v1
Abstract
If a finitely generated torsion free group K has the property that all finitely generated subgroups S of K are either small or have growth constant bounded uniformly away from 1 then a non proper HNN extension G of K, that is a semidirect product of K by the integers, has the same property. Here small means cyclic or, if the automorphism has no periodic conjugacy classes, free abelian of bounded rank.
Cite
@article{arxiv.0909.2841,
title = {Non proper HNN extensions and uniform uniform exponential growth},
author = {J. O. Button},
journal= {arXiv preprint arXiv:0909.2841},
year = {2009}
}
Comments
29 pages