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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Zugang: | 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 |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751283579977728 |
|---|---|
| author | Rajhi, A. |
| author_facet | Rajhi, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T21:10:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188567 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:10:26Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Groups whose lattices of normal subgroups are factorial Rajhi, A. |
| title | 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_short | Groups whose lattices of normal subgroups are factorial |
| title_sort | groups whose lattices of normal subgroups are factorial |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188567 |
| work_keys_str_mv | AT rajhia groupswhoselatticesofnormalsubgroupsarefactorial |