1998/07/31 by Arturo Magidin
Mathematics · #math.GR #msc:08B25 #msc:20F18 #msc:20E10
published as Comm. Algebra 27(9), 4545-4559 (1999). · Plain TeX, 15 pp. Typos corrected, added details to some proofs. Final version
arxiv created 1999/05/13 · arxiv updated 2009/11/30
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.