Groups with many pronormal and transitively normal subgroups
A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. We described some infinite groups, whose non–finitely generated subgroups are transitively normal.
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| Дата: | 2012 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152231 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152231 |
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dspace |
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irk-123456789-1522312019-06-10T01:25:36Z Groups with many pronormal and transitively normal subgroups Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. We described some infinite groups, whose non–finitely generated subgroups are transitively normal. 2012 Article Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. 1726-3255 2010 MSC:20E15, 20F19. http://dspace.nbuv.gov.ua/handle/123456789/152231 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 |
A subgroup H of a group G is said to be transitively normal in G, if H is normal in every subgroup K ≥ H such that H is subnormal in K. We described some infinite groups, whose non–finitely generated subgroups are transitively normal. |
| format |
Article |
| author |
Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| spellingShingle |
Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. Groups with many pronormal and transitively normal subgroups Algebra and Discrete Mathematics |
| author_facet |
Kurdachenko, L.A. Semko (Jr.), N.N. Subbotin, I.Ya. |
| author_sort |
Kurdachenko, L.A. |
| title |
Groups with many pronormal and transitively normal subgroups |
| title_short |
Groups with many pronormal and transitively normal subgroups |
| title_full |
Groups with many pronormal and transitively normal subgroups |
| title_fullStr |
Groups with many pronormal and transitively normal subgroups |
| title_full_unstemmed |
Groups with many pronormal and transitively normal subgroups |
| title_sort |
groups with many pronormal and transitively normal subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152231 |
| citation_txt |
Groups with many pronormal and transitively normal subgroups / L.A. Kurdachenko, N.N. Semko (Jr.), I.Ya. Subbotin // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 84–106. — Бібліогр.: 27 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
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2023-05-20T17:37:48Z |
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2023-05-20T17:37:48Z |
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