INNER AUTOMORPHISMS OF NON-COMMUTATIVE ANALOGUES OF THE ADDITIVE GROUP OF RATIONAL NUMBERS

Grigoryan Grigoryan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

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≥1003, where the groups A(m, n) are known non-commutative analogues of the additive group of rational numbers.

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INNER AUTOMORPHISMS OF NON-COMMUTATIVE ANALOGUES OF THE ADDITIVE GROUP OF RATIONAL NUMBERS

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