A generalization of groups with many almost normal subgroups
A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finit...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154600 |
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| Цитувати: | A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154600 |
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dspace |
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irk-123456789-1546002019-06-16T01:32:15Z A generalization of groups with many almost normal subgroups Russo, F.G. A subgroup H of a group G is called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finitely generated subgroup satisfies a property, which is weaker to be almost normal 2010 Article A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 Mathematics Subject Classification:20C07; 20D10; 20F24. http://dspace.nbuv.gov.ua/handle/123456789/154600 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 called almost normal in G if it has finitely many conjugates in G. A classic result of B. H. Neumann informs us that |G:Z(G)| is finite if and only if each H is almost normal in G. Starting from this result, we investigate the structure of a group in which each non-finitely generated subgroup satisfies a property, which is weaker to be almost normal |
| format |
Article |
| author |
Russo, F.G. |
| spellingShingle |
Russo, F.G. A generalization of groups with many almost normal subgroups Algebra and Discrete Mathematics |
| author_facet |
Russo, F.G. |
| author_sort |
Russo, F.G. |
| title |
A generalization of groups with many almost normal subgroups |
| title_short |
A generalization of groups with many almost normal subgroups |
| title_full |
A generalization of groups with many almost normal subgroups |
| title_fullStr |
A generalization of groups with many almost normal subgroups |
| title_full_unstemmed |
A generalization of groups with many almost normal subgroups |
| title_sort |
generalization of groups with many almost normal subgroups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/154600 |
| citation_txt |
A generalization of groups with many almost normal subgroups / F.G. Russo // Algebra and Discrete Mathematics. — 2010. — Vol. 9, № 1. — С. 79–85. — Бібліогр.: 21 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT russofg ageneralizationofgroupswithmanyalmostnormalsubgroups AT russofg generalizationofgroupswithmanyalmostnormalsubgroups |
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2023-05-20T17:44:57Z |
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2023-05-20T17:44:57Z |
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1796153999343222784 |