ON A QUESTION OF A. SOZUTOV

N.E. Mirzakhanyan; H.V. Piliposyan

doi:10.46991/PYSU:A/2018.52.2.088

ON A QUESTION OF A. SOZUTOV

Authors

N.E. Mirzakhanyan Chair of Algebra and Geometry, YSU, Armenia
H.V. Piliposyan Chair of Mathematical Cybernetics, RAU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2018.52.2.088

Keywords:

central extension, periodic group, normal closure

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 and any two non-trivial subgroups of which have a non-trivial intersection.

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Published

2018-08-15

How to Cite

Mirzakhanyan, N., & Piliposyan, H. (2018). ON A QUESTION OF A. SOZUTOV. Proceedings of the YSU A: Physical and Mathematical Sciences, 52(2 (246), 88–92. https://doi.org/10.46991/PYSU:A/2018.52.2.088