Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896557 | Journal of Algebra | 2017 | 19 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
G. Donadze, M. Ladra, V.Z. Thomas,