Dominions in finitely generated nilpotent groups
作者:
Arturo Magidin,
期刊:
Communications in Algebra
(Taylor Available online 1999)
卷期:
Volume 27,
issue 9
页码: 4545-4559
ISSN:0092-7872
年代: 1999
DOI:10.1080/00927879908826714
出版商: Gordon and Breach Science Publishers Ltd.
关键词: dominion;nilpotent;Primary:08B25;Primary:20F18;Secondary:20E10
数据来源: Taylor
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.
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