Dominions in finitely generated nilpotent groups
群论
2007-05-23 v3
摘要
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.
引用
@article{arxiv.math/9807114,
title = {Dominions in finitely generated nilpotent groups},
author = {Arturo Magidin},
journal= {arXiv preprint arXiv:math/9807114},
year = {2007}
}
备注
Plain TeX, 15 pp. Typos corrected, added details to some proofs. Final version