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 N 2 if and only if G/pG is cyclic for every prime number p.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received October 28, 1998; accepted in final form May 7, 1999.
Rights and permissions
About this article
Cite this article
Magidin, A. Absolutely closed nil-2 groups. Algebra univers. 42, 61–77 (1999). https://doi.org/10.1007/s000120050124
Issue Date:
DOI: https://doi.org/10.1007/s000120050124