On $p$-separability of subgroups of free metabelian groups
Group Theory
2007-05-23 v1
Abstract
We prove that every free metabelian non--cyclic group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. As a corollary we prove that for every prime number an arbitrary free metabelian non--cyclic group has a finitely generated --isolated subgroup which is not --separable.
Keywords
Cite
@article{arxiv.math/0406254,
title = {On $p$-separability of subgroups of free metabelian groups},
author = {Valerij G. Bardakov},
journal= {arXiv preprint arXiv:math/0406254},
year = {2007}
}
Comments
7 pages