Geodesic
On automorphisms of the relatively free groups satisfying the identity $[x^n,~y] = 1$
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 196-198

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We prove that if an automorphism $\varphi$ of the relatively free group of the group variety, defined by the identity relation $[x^n,~y] = 1$, acts identically on its center, then $\varphi$ has either infinite or odd order, where $n\geq665$ is an arbitrary odd number.
Keywords: relatively free group, periodic group.
Mots-clés : automorphism 
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     title = {On automorphisms of the relatively free groups satisfying the identity $[x^n,~y] = 1$},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
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Sh. A. Stepanyan. On automorphisms of the relatively free groups satisfying the identity $[x^n,~y] = 1$. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 2, pp. 196-198. http://geodesic.mathdoc.fr/item/UZERU_2017_51_2_a8/