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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2019, Volume 53, Issue 3, Pages 147–149 (Mi uzeru646)  
Mathematics

On fixed points of automorphisms

V. S. Atabekyan, H. T. Aslanyan

Yerevan State University, Faculty of Mathematics and Mechanics
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Abstract: We prove that each automorphism of order 2 of any non-abelian periodic group of odd period has a non-trivial fixed point.
Keywords: fixed point, automorphism, involution, periodic group.
Received: 01.11.2019
Revised: 24.11.2019
Accepted: 10.12.2019
Document Type: Article
MSC: 20F50, 20F28, 20E36
Language: English
Citation: V. S. Atabekyan, H. T. Aslanyan, “On fixed points of automorphisms”, Proceedings of the YSU, Physical and Mathematical Sciences, 53:3 (2019), 147–149
Citation in format AMSBIB
\Bibitem{AtaAsl19}
\by V.~S.~Atabekyan, H.~T.~Aslanyan
\paper On fixed points of automorphisms
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 2019
\vol 53
\issue 3
\pages 147--149
\mathnet{http://mi.mathnet.ru/uzeru646}
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