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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152347 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Kukharev, A. Puninski, G. 2019-06-10T11:01:29Z 2019-06-10T11:01:29Z 2013 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. https://nasplib.isofts.kiev.ua/handle/123456789/152347 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Serial group rings of finite groups. p-solvability Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Serial group rings of finite groups. p-solvability |
| spellingShingle |
Serial group rings of finite groups. p-solvability Kukharev, A. Puninski, G. |
| 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 |
| author |
Kukharev, A. Puninski, G. |
| author_facet |
Kukharev, A. Puninski, G. |
| publishDate |
2013 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT kukhareva serialgroupringsoffinitegroupspsolvability AT puninskig serialgroupringsoffinitegroupspsolvability |
| first_indexed |
2025-12-07T16:25:39Z |
| last_indexed |
2025-12-07T16:25:39Z |
| _version_ |
1850867439219245057 |