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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| Дата: | 2020 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.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
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irk-123456789-1885032023-03-04T01:27:01Z On the non–periodic groups, whose subgroups of infinite special rank are transitively normal Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. 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. 2020 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188503 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. |
| spellingShingle |
Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. On the non–periodic groups, whose subgroups of infinite special rank are transitively normal Algebra and Discrete Mathematics |
| author_facet |
Kurdachenko, L.A. Subbotin, I.Ya. Velychko, T.V. |
| author_sort |
Kurdachenko, L.A. |
| title |
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_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_sort |
on the non–periodic groups, whose subgroups of infinite special rank are transitively normal |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188503 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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2023-10-18T23:08:30Z |
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2023-10-18T23:08:30Z |
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