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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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/154600 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862615310553579520 |
|---|---|
| author | Russo, F.G. |
| author_facet | Russo, F.G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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
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| first_indexed | 2025-11-29T13:28:34Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-154600 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-29T13:28:34Z |
| publishDate | 2010 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Russo, F.G. 2019-06-15T16:41:40Z 2019-06-15T16:41:40Z 2010 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. https://nasplib.isofts.kiev.ua/handle/123456789/154600 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 This paper is dedicated to the memory of my father and to the future of my brother en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A generalization of groups with many almost normal subgroups Article published earlier |
| spellingShingle | A generalization of groups with many almost normal subgroups Russo, F.G. |
| title | 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_short | A generalization of groups with many almost normal subgroups |
| title_sort | generalization of groups with many almost normal subgroups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/154600 |
| work_keys_str_mv | AT russofg ageneralizationofgroupswithmanyalmostnormalsubgroups AT russofg generalizationofgroupswithmanyalmostnormalsubgroups |