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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

ON AUTOMORPHISMS OF THE RELATIVELY FREE GROUPSSATISFYING THE IDENTITY [xn,y] =1

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

We prove that if an automorphism j of the relatively free group of the group variety, defined by the identity relation [xn;y]=1, acts identically on its center, then j has either infinite or odd order, where n≥665 is an arbitrary odd number.

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