Dominions in finitely generated nilpotent groups

Arturo Magidin

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Dominions in finitely generated nilpotent groups

Arturo Magidin

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Abstract

In the first part, we prove that the dominion (in the sense of Isbell) of a subgroup of a finitely generated nilpotent group is trivial in the category of all nilpotent groups. In the second part, we show that the dominion of a subgroup of a finitely generated nilpotent group of class two is trivial in the category of all metabelian nilpotent groups.

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BibTeX RIS

Arturo Magidin. 1999-05-13. Dominions in finitely generated nilpotent groups. https://arxiv.org/abs/math/9807114

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