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

Authors

  • A.Ye. Grigoryan Department of Applied Mathematics, RAU, Armenia

DOI:

https://doi.org/10.46991/PSYU:A/2015.49.1.012

Keywords:

automorphisms group, inner automorphism, characteristic subgroup

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.

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Published

2015-03-16

How to Cite

Grigoryan, A. (2015). INNER AUTOMORPHISMS OF NON-COMMUTATIVE ANALOGUES OF THE ADDITIVE GROUP OF RATIONAL NUMBERS. Proceedings of the YSU A: Physical and Mathematical Sciences, 49(1 (236), 12–14. https://doi.org/10.46991/PSYU:A/2015.49.1.012

Issue

Section

Mathematics