This article is cited in 1 paper

Mathematics

Inner automorphisms of non-commutative analogues of the additive group of rational numbers

A. E. Grigoryan

Russian-Armenian (Slavonic) State University, Yerevan

Abstract: 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.

MSC: Primary 20F28; Secondary 20E36

Received: 06.02.2015
Revised: 06.02.2015
Accepted: 20.02.2015

Language: English