Serial group rings of finite groups. p-solvability
We prove that for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups of order ≤ 100 whose group rings are serial.
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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152347 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Serial group rings of finite groups. p-solvability / A. Kukharev, G. Puninski // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 201–216. — Бібліогр.: 18 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1523472019-06-11T01:25:05Z Serial group rings of finite groups. p-solvability Kukharev, A. Puninski, G. We prove that for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups of order ≤ 100 whose group rings are serial. 2013 Article Serial group rings of finite groups. p-solvability / A. Kukharev, G. Puninski // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 201–216. — Бібліогр.: 18 назв. — англ. 1726-3255 2010 MSC:20C05,16L30. http://dspace.nbuv.gov.ua/handle/123456789/152347 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 for any finite p-solvable group G with a cyclic p-Sylow subgroup and any field F of characteristic p, the group ring FG is serial. As a corollary for an arbitrary field we will produce a list of all groups of order ≤ 100 whose group rings are serial. |
| format |
Article |
| author |
Kukharev, A. Puninski, G. |
| spellingShingle |
Kukharev, A. Puninski, G. Serial group rings of finite groups. p-solvability Algebra and Discrete Mathematics |
| author_facet |
Kukharev, A. Puninski, G. |
| author_sort |
Kukharev, A. |
| title |
Serial group rings of finite groups. p-solvability |
| title_short |
Serial group rings of finite groups. p-solvability |
| title_full |
Serial group rings of finite groups. p-solvability |
| title_fullStr |
Serial group rings of finite groups. p-solvability |
| title_full_unstemmed |
Serial group rings of finite groups. p-solvability |
| title_sort |
serial group rings of finite groups. p-solvability |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152347 |
| citation_txt |
Serial group rings of finite groups. p-solvability / A. Kukharev, G. Puninski // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 201–216. — Бібліогр.: 18 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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AT kukhareva serialgroupringsoffinitegroupspsolvability AT puninskig serialgroupringsoffinitegroupspsolvability |
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2023-05-20T17:38:06Z |
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2023-05-20T17:38:06Z |
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1796153739531255808 |