Dominions in finitely generated nilpotent groups

被引：3
|
作者：
Magidin, A [1 ]
机构：
[1] Natl Autonomous Univ Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
来源：
COMMUNICATIONS IN ALGEBRA | 1999年 / 27卷 / 09期
关键词：
dominion; nilpotent;
D O I：
10.1080/00927879908826714
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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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页码：4545 / 4559
页数：15
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