On D. I. Moldavanskii's question about $p$-separable subgroups of a free group
| dc.creator | Bardakov, Valerij G. | |
| dc.date | 2004-04-16 | |
| dc.date | 2004-05-11 | |
| dc.date.accessioned | 2026-07-07T05:07:29Z | |
| dc.date.available | 2026-07-07T05:07:29Z | |
| dc.description | 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 $p'$--isolated subgroup of a free group is separable in the class of finite $p$--groups? | |
| dc.description | 5 pages, to appear in Siberian Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0404292 | |
| dc.identifier | http://arxiv.org/abs/math/0404292 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70875 | |
| dc.subject | Group Theory | |
| dc.subject | 20E05, 20E26, 20F16 | |
| dc.title | On D. I. Moldavanskii's question about $p$-separable subgroups of a free group | |
| dc.type | text |