On the structure of some groups having finite contranormal subgroups
Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup.
Збережено в:
| Дата: | 2021 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2021
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188680 |
| Теги: |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188680 |
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irk-123456789-1886802023-03-12T01:28:55Z On the structure of some groups having finite contranormal subgroups Kurdachenko, L.A. Semko, N.N. Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup. 2021 Article On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. 1726-3255 DOI:10.12958/adm1724 2020 MSC: 20E99, 20F18, 20F19. http://dspace.nbuv.gov.ua/handle/123456789/188680 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 |
Following J.S. Rose, a subgroup H of the group G is said to be contranormal in G, if G = Hᴳ. In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal p-subgroup. |
| format |
Article |
| author |
Kurdachenko, L.A. Semko, N.N. |
| spellingShingle |
Kurdachenko, L.A. Semko, N.N. On the structure of some groups having finite contranormal subgroups Algebra and Discrete Mathematics |
| author_facet |
Kurdachenko, L.A. Semko, N.N. |
| author_sort |
Kurdachenko, L.A. |
| title |
On the structure of some groups having finite contranormal subgroups |
| title_short |
On the structure of some groups having finite contranormal subgroups |
| title_full |
On the structure of some groups having finite contranormal subgroups |
| title_fullStr |
On the structure of some groups having finite contranormal subgroups |
| title_full_unstemmed |
On the structure of some groups having finite contranormal subgroups |
| title_sort |
on the structure of some groups having finite contranormal subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2021 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188680 |
| citation_txt |
On the structure of some groups having finite contranormal subgroups / L.A. Kurdachenko, N.N. Semko // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 1. — С. 109–119. — Бібліогр.: 9 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kurdachenkola onthestructureofsomegroupshavingfinitecontranormalsubgroups AT semkonn onthestructureofsomegroupshavingfinitecontranormalsubgroups |
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2023-10-18T23:08:54Z |
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2023-10-18T23:08:54Z |
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1796157372133015552 |