Geodesic
On a question of A. Sozutov
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 2, pp. 88-92

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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. 
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N. E. Mirzakhanyan; H. V. Piliposyan. On a question of A. Sozutov. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 52 (2018) no. 2, pp. 88-92. http://geodesic.mathdoc.fr/item/UZERU_2018_52_2_a2/