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Proceedings of the YSU, Physical and Mathematical Sciences, 2011, Issue 3, Pages 62–64
(Mi uzeru195)
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This article is cited in 1 scientific paper (total in 1 paper)
Communications
Mathematics
Splitting automorphisms of free Burnside groups
V. S. Atabekyan Chair of Algebra and Geometry YSU, Armenia
Abstract:
We have proved, that if $n\geq1003$ is an arbitrary odd number and $\varphi$ is a splitting automorphism of period $n$ of group $B(m, n)$ that has a prime order, then $\varphi$ is inner automorphism.
Keywords:
splitting automorphism, free Burside group, holomorph of the group.
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Received: 14.04.2011 Accepted:25.05.2011
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Citation:
V. S. Atabekyan, “Splitting automorphisms of free Burnside groups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2011, no. 3, 62–64
Citation in format AMSBIB
\Bibitem{Ata11}
\by V.~S.~Atabekyan
\paper Splitting automorphisms of free Burnside groups
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2011
\issue 3
\pages 62--64
\mathnet{http://mi.mathnet.ru/uzeru195}
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http://mi.mathnet.ru/eng/uzeru195 http://mi.mathnet.ru/eng/uzeru/y2011/i3/p62
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This publication is cited in the following articles:
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V. S. Atabekyan, “Splitting Automorphisms of Order $p^k$ of Free Burnside Groups are Inner”, Mat. Zametki, 95:5 (2014), 651–655
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