On group rings of the simple group of order 168, 504 or 360 and their modules
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913712620699648 |
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| author | Konomi, Yutaka |
| author_facet | Konomi, Yutaka |
| contents | Let $p$ be a prime and $\mathbb{Z}_p$ the ring of $p$-adic integers. Let $G$ denote the simple group of order 168, 504 or 360. In this paper, we study the structure of the $χ$-part of a $\mathbb{Z}_p[\mathrm{Im}(χ)][G]$-module come from ideal class groups, Artin $L$-functions and Iwasawa theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20800 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On group rings of the simple group of order 168, 504 or 360 and their modules Konomi, Yutaka Number Theory Rings and Algebras Representation Theory Let $p$ be a prime and $\mathbb{Z}_p$ the ring of $p$-adic integers. Let $G$ denote the simple group of order 168, 504 or 360. In this paper, we study the structure of the $χ$-part of a $\mathbb{Z}_p[\mathrm{Im}(χ)][G]$-module come from ideal class groups, Artin $L$-functions and Iwasawa theory. |
| title | On group rings of the simple group of order 168, 504 or 360 and their modules |
| topic | Number Theory Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2502.20800 |