On subgroups of finite exponent in groups

We investigate properties of groups with subgroups of  finite exponent and prove that  a non-perfect group  \(G\)  of infinite exponent with all proper subgroups of finite exponent has the following properties:\((1)\) \(G\) is an indecomposable  \(p\)-group,\((2)\) if the derived subgroup \(G'\...

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Bibliographic Details
Date:2018
Main Author: Artemovych, Orest D.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1170
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics