On the non–periodic groups, whose subgroups of infinite special rank are transitively normal
This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G is abelian.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188503 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal / L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 74–84. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862627429587091456 |
|---|---|
| author | Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. |
| author_facet | Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. |
| citation_txt | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal / L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 74–84. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G is abelian.
|
| first_indexed | 2025-12-07T13:39:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188503 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:39:10Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. 2023-03-03T15:55:18Z 2023-03-03T15:55:18Z 2020 On the non–periodic groups, whose subgroups of infinite special rank are transitively normal / L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 1. — С. 74–84. — Бібліогр.: 16 назв. — англ. 1726-3255 DOI:10.12958/adm1357 2010 MSC: Primary 20E15, 20F16; Secondary 20E25, 20E34, 20F22, 20F50. https://nasplib.isofts.kiev.ua/handle/123456789/188503 This paper devoted to the non-periodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G is abelian. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the non–periodic groups, whose subgroups of infinite special rank are transitively normal Article published earlier |
| spellingShingle | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. |
| title | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_full | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_fullStr | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_full_unstemmed | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_short | On the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| title_sort | on the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188503 |
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