On $p$-separability of subgroups of free metabelian groups

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dc.creatorBardakov, Valerij G.
dc.date2004-06-13
dc.date.accessioned2026-07-07T05:09:12Z
dc.date.available2026-07-07T05:09:12Z
dc.descriptionWe 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 $p$ an arbitrary free metabelian non--cyclic group has a finitely generated $p'$--isolated subgroup which is not $p$--separable.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0406254
dc.identifierhttp://arxiv.org/abs/math/0406254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71543
dc.subjectGroup Theory
dc.subject20F16; 20F14; 20F10
dc.titleOn $p$-separability of subgroups of free metabelian groups
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