Groups whose lattices of normal subgroups are factorial
We prove that the groups G for which the lattice of normal subgroups N(G) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188567 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Groups whose lattices of normal subgroups are factorial / A. Rajhi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 239–253. — Бібліогр.: 7 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-188567 |
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Rajhi, A. 2023-03-06T14:44:10Z 2023-03-06T14:44:10Z 2020 Groups whose lattices of normal subgroups are factorial / A. Rajhi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 239–253. — Бібліогр.: 7 назв. — англ. 1726-3255 DOI:10.12958/adm1264 2010 MSC: 20E99,06B99 https://nasplib.isofts.kiev.ua/handle/123456789/188567 We prove that the groups G for which the lattice of normal subgroups N(G) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Groups whose lattices of normal subgroups are factorial Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Groups whose lattices of normal subgroups are factorial |
| spellingShingle |
Groups whose lattices of normal subgroups are factorial Rajhi, A. |
| title_short |
Groups whose lattices of normal subgroups are factorial |
| title_full |
Groups whose lattices of normal subgroups are factorial |
| title_fullStr |
Groups whose lattices of normal subgroups are factorial |
| title_full_unstemmed |
Groups whose lattices of normal subgroups are factorial |
| title_sort |
groups whose lattices of normal subgroups are factorial |
| author |
Rajhi, A. |
| author_facet |
Rajhi, A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We prove that the groups G for which the lattice of normal subgroups N(G) is factorial are exactly the UND-groups, that is the groups for which every normal subgroup have a unique normal complement, with finite length.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188567 |
| citation_txt |
Groups whose lattices of normal subgroups are factorial / A. Rajhi // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 239–253. — Бібліогр.: 7 назв. — англ. |
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AT rajhia groupswhoselatticesofnormalsubgroupsarefactorial |
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2025-12-07T21:10:26Z |
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2025-12-07T21:10:26Z |
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