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The derived subgroup of a group with commutators of bounded order can be non-periodic

 

作者: G.S. Deryabina,   P.A. Kozhevnikov,  

 

期刊: Communications in Algebra  (Taylor Available online 1999)
卷期: Volume 27, issue 9  

页码: 4525-4530

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826712

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

We prove that for every positive integerkthere isN=N(k) such that for every oddn> N there exists a group G satisfying the identitywhose derived subgroupG' is non-periodic. This solves a problem posed by V.D.Mazurov.

 

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