On some closure properties of the non-abelian tensor product

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• 作者：G. Donadze^a ; ^{gdonad@gmail.com} ; M. Ladra^b ; ^{manuel.ladra@usc.es} ; V.Z. Thomas^a ; ^{vthomas@iisertvm.ac.in}
• 关键词：20D99 ; 20F16 ; 20F05 ; 20F80 ; 20G05 ; 20G06
• 刊名：Journal of Algebra
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：399-413
• 全文大小：355 K
• 卷排序：472

文摘

We prove that the class of nilpotent by finite, solvable by finite, polycyclic by finite, nilpotent of nilpotency class n and supersolvable groups are closed under the formation of the non-abelian tensor product. We provide necessary and sufficient conditions for the non-abelian tensor product of finitely generated groups to be finitely generated.