Absolutely closed nil-2 groups

dc.creatorMagidin, Arturo
dc.date1998-03-11
dc.date1999-05-13
dc.date.accessioned2026-07-07T05:24:03Z
dc.date.available2026-07-07T05:24:03Z
dc.descriptionUsing the description of dominions in the variety of nilpotent groups of class at most two, we give a characterization of which groups are absolutely closed in this variety. We use the general result to derive an easier characterization for some subclasses; e.g. an abelian group $G$ is absolutely closed in ${\cal N}_2$ if and only if $G/pG$ is cyclic for every prime $p$.
dc.description21 pages plain TeX. Final version, with full classification
dc.identifierhttps://arxiv.org/abs/math/9803042
dc.identifierhttp://arxiv.org/abs/math/9803042
dc.identifierAlgebra Universalis 42 (1-2) pp. 61-77 (1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76687
dc.subjectGroup Theory
dc.subject20E06, 20F18 (primary)
dc.titleAbsolutely closed nil-2 groups
dc.typetext

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