On subgroups of finite exponent in groups
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On subgroups of finite exponent in groups
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| Creator |
Artemovych, O.D.
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| Description |
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/G′′ is a group of Heineken-Mohamed type. We also prove that a non-perfect indecomposable group G with the non-perfect locally nilpotent derived subgroup G′ is a locally finite p-group. |
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| Date |
2019-06-12T20:59:40Z
2019-06-12T20:59:40Z 2015 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:20F50, 20F26, 20E26. http://dspace.nbuv.gov.ua/handle/123456789/152792 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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