Strictly ascending HNN extensions in soluble groups
Group Theory
2010-04-02 v1
Abstract
We show that there exist finitely generated soluble groups which are not LERF but which do not contain strictly ascending HNN extensions of a cyclic group. This solves Problem 16.2 in the Kourovka notebook. We further show that there is a finitely presented soluble group which is not LERF but which does not contain a strictly ascending HNN extension of a polycyclic group.
Cite
@article{arxiv.1004.0197,
title = {Strictly ascending HNN extensions in soluble groups},
author = {J. O. Button},
journal= {arXiv preprint arXiv:1004.0197},
year = {2010}
}
Comments
10 pages