INNER AUTOMORPHISMS OF 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 Grigoryan Grigoryan

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.

DOI: 10.46991/PYSUA.2015.49.1.012 Physical and Mathematical Sciences, 49 (1 (236) 12-14

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Keywords

automorphisms group, inner automorphism, characteristic subgroup

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