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NILPOTENT GROUPS AND ABELIANIZATION

 

作者: Peter Hilton,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1983）
卷期: Volume 6, issue 1-3  

页码: 143-155

 

ISSN:1607-3606

 

年代: 1983

 

DOI:10.1080/16073606.1983.9632297

 

出版商: Taylor & Francis Group

 

关键词: 20F18;55P60

 

数据来源: Taylor

 

摘要:

We study the question of what properties of nilpotent groups are shared by their abelianizations. We identify two such properties—that of being a π-torsion group, where π is a family of primes, and that of having qthroots, for some prime q. We use these properties to provide simplified proofs of the following theorems in the localization of nilpotent groups.

 

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