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 \(\leq 100\) whose group rings are serial.
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1157 |
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| Journal Title: | Algebra and Discrete Mathematics |