Dominions in finitely generated nilpotent groups

Details Dominions in finitely generated nilpotent groups Dominions in finitely generated nilpotent groups

1998-07-21

arxiv.org/abs/math/9807114v3

Comm. Algebra 27(9), 4545-4559 (1999).

Mathematics

Group Theory

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

Scientific paper

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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