On D. I. Moldavanskii's question about $p$-separable subgroups of a free group

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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?
5 pages, to appear in Siberian Mathematical Journal

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Group Theory, 20E05, 20E26, 20F16

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http://salesiana.dossiersoluciones.com/handle/123456789/70875

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404292
 http://arxiv.org/abs/math/0404292

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arXiv