Dominions in finitely generated nilpotent groups

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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.
Plain TeX, 15 pp. Typos corrected, added details to some proofs. Final version

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Group Theory, 08B25; 20F18 (primary) 20E10 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77187

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807114
 http://arxiv.org/abs/math/9807114
 Comm. Algebra 27(9), 4545-4559 (1999).

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arXiv