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Non-cancellation for certain classes of groups

 

作者: P. J. Witbooi,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 8  

页码: 3639-3646

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826652

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: 20E36;20F18

 

数据来源: Taylor

 

摘要:

For a certain class of groups, which are semidirect products arising from an action of a finite rank free abelian group on another group, we study cancellation of the infinite cyclic group in isomorphic direct products. As an application we obtain a sufficient condition for triviality of the genus of certain nilpotent groups.

 

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