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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2017, Volume 51, Issue 2, Pages 196–198
(Mi uzeru384)
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This article is cited in 1 scientific paper (total in 1 paper)
Communications
Mathematics
On automorphisms of the relatively free groups satisfying the identity $[x^n,~y] = 1$
Sh. A. Stepanyan Chair of Algebra and Geometry YSU, Armenia
Abstract:
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, automorphism, periodic group.
Received: 15.05.2017 Accepted: 30.05.2017
Citation:
Sh. A. Stepanyan, “On automorphisms of the relatively free groups satisfying the identity $[x^n,~y] = 1$”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:2 (2017), 196–198
Linking options:
https://www.mathnet.ru/eng/uzeru384 https://www.mathnet.ru/eng/uzeru/v51/i2/p196
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Abstract page: | 117 | Full-text PDF : | 23 | References: | 27 |
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