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.
Збережено в:
| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
|
| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188567 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188567 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1885672023-03-07T01:26:51Z Groups whose lattices of normal subgroups are factorial Rajhi, A. 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. 2020 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/188567 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 |
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. |
| format |
Article |
| author |
Rajhi, A. |
| spellingShingle |
Rajhi, A. Groups whose lattices of normal subgroups are factorial Algebra and Discrete Mathematics |
| author_facet |
Rajhi, A. |
| author_sort |
Rajhi, A. |
| title |
Groups whose lattices of normal subgroups are factorial |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2020 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT rajhia groupswhoselatticesofnormalsubgroupsarefactorial |
| first_indexed |
2023-10-18T23:08:39Z |
| last_indexed |
2023-10-18T23:08:39Z |
| _version_ |
1796157361788813312 |