Abstract
We study the non-abelian tensor square Gn G for the class of groups G that are finitely generated modulo their derived subgroup. In particular, we find conditions on G=G 0 so that Gn G is isomorphic to the direct product of 'ðGÞ and the non-abelian exterior square G ^ G. For any group G, we characterize the non-abelian exterior square G ^ G in terms of a presentation of G. Finally, we apply our results to some classes of groups, such as the classes of free solvable and free nilpotent groups of finite rank, and some classes of finite p-groups.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.