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 ...
Gupta, C.K.; Gupta, N.D.; Oliynyk, A.S.(Algebra and Discrete Mathematics, 2007)
Let finite number of finite groups be given. Let n
be the largest order of their composition factors. We prove explicitly that the group of finite state automorphisms of rooted n-tree
contains subgroups isomorphic to the ...
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.