Geodesic
Inner automorphisms of non-commutative analogues of the additive group of rational numbers
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 12-14

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It is proved that the inner automorphisms group of the group $A(m,n)$ are characteristic subgroup in $Aut(A(m,n))$ for all $m > 1$ and odd $n\geq 1003,$ where the groups $A(m,n)$ are known non-commutative analogues of the additive group of rational numbers.
Keywords: automorphisms group, inner automorphism, characteristic subgroup. 
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A. E. Grigoryan. Inner automorphisms of non-commutative analogues of the additive group of rational numbers. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2015), pp. 12-14. http://geodesic.mathdoc.fr/item/UZERU_2015_1_a2/