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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152347 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862695748070539264 |
|---|---|
| author | Kukharev, A. Puninski, G. |
| author_facet | Kukharev, A. Puninski, G. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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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| first_indexed | 2025-12-07T16:25:39Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152347 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:25:39Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Serial group rings of finite groups. p-solvability Kukharev, A. Puninski, G. |
| title | 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_short | Serial group rings of finite groups. p-solvability |
| title_sort | serial group rings of finite groups. p-solvability |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152347 |
| work_keys_str_mv | AT kukhareva serialgroupringsoffinitegroupspsolvability AT puninskig serialgroupringsoffinitegroupspsolvability |