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Dominions in varieties of nilpotent groups

 

作者: Arturo Magidin,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 3  

页码: 1241-1270

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008826892

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: dominion;nilpotent;Primary: 08B25;Primary: 20F18;Primary: 20F45;Primary: 20E10;Secondary: 20F12

 

数据来源: Taylor

 

摘要:

We investigate the concept of dominion (in the sense of Isbell) in several varieties of nilpotent groups. We obtain a complete description of dominions in the variety of nilpotent groups of class at most two. Then we look at the behavior of dominions of subgroups of groups inN2when taken in the context ofNcforc>2. Finally, we establish the existence of nontrivial dominions in the category of all nilpotent groups.

 

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