Abstract
Let G be a nilpotent group of class two and \(G\otimes G\) be its nonabelian tensor square. In this paper, we determine an upper bound for \(d((G\otimes G)\otimes G)\) in terms of d(G), where d(G) is the minimal number of generators of G. In particular, we show that the bound is attained if G is a finitely generated free nilpotent group of class two.
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The authors would like to thank the referee for his/her valuable comments and suggestions.
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Communicated by Manoj Kumar Yadav.
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ASHEGHI, E., JAFARI, S.H. On the third tensor power of a nilpotent group of class two. Proc Math Sci 131, 34 (2021). https://doi.org/10.1007/s12044-021-00629-4
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DOI: https://doi.org/10.1007/s12044-021-00629-4