On D. I. Moldavanskii's question about $p$-separable subgroups of a free group
Group Theory
2007-05-23 v2
Abstract
We prove that every nonabelian free group has a finitely generated isolated subgroup which is not separable in the class of nilpotent groups. This enables us to give a negative answer to the following question by D.I. Moldavanskii in the "Kourovka Notebook": Is it true that any finitely generated --isolated subgroup of a free group is separable in the class of finite --groups?
Cite
@article{arxiv.math/0404292,
title = {On D. I. Moldavanskii's question about $p$-separable subgroups of a free group},
author = {Valerij G. Bardakov},
journal= {arXiv preprint arXiv:math/0404292},
year = {2007}
}
Comments
5 pages, to appear in Siberian Mathematical Journal