Residual properties of groups defined by basic commutators
Group Theory
2013-08-29 v2
Abstract
In this paper we study the residual nilpotence of groups defined by basic commutators. We prove that the so-called Hydra groups as well as certain of their generalizations and quotients are, in the main, residually torsion-free nilpotent. By way of contrast we give an example of a group defined by two basic commutators which is not residually torsion-free nilpotent.
Keywords
Cite
@article{arxiv.1301.4629,
title = {Residual properties of groups defined by basic commutators},
author = {Gilbert Baumslag and Roman Mikhailov},
journal= {arXiv preprint arXiv:1301.4629},
year = {2013}
}
Comments
17 pages