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Absolutely Closed Nil-2 Groups by Magidin, Arturo is a scholarly article available to read on EtoBox.

What is Absolutely Closed Nil-2 Groups about?

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 $p$.

Author
Magidin, Arturo
Published
1998
Language
EN

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