Gupta, C.K.; Wan Lin(Український математичний журнал, 2002)
We determine the structure of IA(G)/Inn(G) by giving a set of generators, and showing that IA(G)/Inn(G) is a free abelian group of rank (c − 2)(c + 3)/2. Here G = M₂, c = 〈 x, y〉, c ≥ 2, is the free metabelian nilpotent ...
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.