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 Proceedings of the YSU, Physics & Mathematics: Year: Volume: Issue: Page: Find

 Proceedings of the YSU, Physics & Mathematics, 2018, Volume 52, Issue 2, Pages 88–92 (Mi uzeru463)

Mathematics

On a question of A. Sozutov

N. E. Mirzakhanyana, H. V. Piliposyanb

a Chair of Algebra and Geometry YSU, Armenia
b Chair of Mathematical Cybernetics RAU, Armenia

Abstract: In the paper an answer to a problem posed by A.I. Sozutov in the Kourovka Notebook is given. The solution is based on some modification of the method that was proposed for constructing a non-abelian analogue of the additive group of rational numbers, i.e. a group whose center is an infinite cyclic group

Keywords: central extension, periodic group, normal closure.

Full text: PDF file (145 kB)
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Document Type: Article
MSC: Primary 20F05; Secondary 20E22
Language: English

Citation: N. E. Mirzakhanyan, H. V. Piliposyan, “On a question of A. Sozutov”, Proceedings of the YSU, Physics & Mathematics, 52:2 (2018), 88–92

Citation in format AMSBIB
\Bibitem{MirPil18} \by N.~E.~Mirzakhanyan, H.~V.~Piliposyan \paper On a question of A. Sozutov \jour Proceedings of the YSU, Physics {\&} Mathematics \yr 2018 \vol 52 \issue 2 \pages 88--92 \mathnet{http://mi.mathnet.ru/uzeru463}