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Absolutely closed nil-2 groups

Arturo Magidin
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Abstract

Using 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 $p$.

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Arturo Magidin. 1999-05-13. Absolutely closed nil-2 groups. https://arxiv.org/abs/math/9803042

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