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′ is non-perfect, then G/...
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| Date: | 2015 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2015
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152792 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On subgroups of finite exponent in groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 1. — С. 1-7. — Бібліогр.: 13 назв. — англ. |