On a question by Roggenkamp about group algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912639141019648 |
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| author | Johnston, Dylan Rumynin, Dmitriy |
| author_facet | Johnston, Dylan Rumynin, Dmitriy |
| contents | We investigate whether the group algebra of a finite group over a localisation of the integers is semiperfect. The main result is a necessary and sufficient arithmetic criterion in the ordinary case. In the modular case, we propose a conjecture, which extends the criterion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21316 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a question by Roggenkamp about group algebras Johnston, Dylan Rumynin, Dmitriy Rings and Algebras Group Theory Representation Theory 16S34 (Primary) 16U40, 20C15, 20C20 (Secondary) We investigate whether the group algebra of a finite group over a localisation of the integers is semiperfect. The main result is a necessary and sufficient arithmetic criterion in the ordinary case. In the modular case, we propose a conjecture, which extends the criterion. |
| title | On a question by Roggenkamp about group algebras |
| topic | Rings and Algebras Group Theory Representation Theory 16S34 (Primary) 16U40, 20C15, 20C20 (Secondary) |
| url | https://arxiv.org/abs/2507.21316 |