Abstract
We find the nilpotency class of a group of 2-symmetric words for free nilpotent groups, free nilpotent metabelian groups, and free (nilpotent of class c)-by-Abelian groups.
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Gupta, C.K., Hołubowski, W. On 2-Symmetric Words in Nilpotent Groups. Ukrainian Mathematical Journal 54, 1227–1233 (2002). https://doi.org/10.1023/A:1022091131450
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DOI: https://doi.org/10.1023/A:1022091131450