Natural Science, Mathematics, 2025
INNER AUTOMORPHISMS OF NON-COMMUTATIVE ANALOGUES OF THE ADDITIVE GROUP OF RATIONAL NUMBERS
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Submitted: 2025-02-12; Published: 2025-02-12
© 2025 by author(s) and The Gufo Inc.
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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≥1003, where the groups A(m, n) are known non-commutative analogues of the additive group of rational numbers.