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 |
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| Datum: | 2013 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| 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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