Separable commutative rings in the stable module category of cyclic groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866912018204721152 |
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| author | Balmer, Paul Carlson, Jon F. |
| author_facet | Balmer, Paul Carlson, Jon F. |
| contents | We prove that the only separable commutative ring-objects in the stable module category of a finite cyclic p-group G are the ones corresponding to subgroups of G. We also describe the tensor-closure of the Kelly radical of the module category and of the stable module category of any finite group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1703_10942 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Separable commutative rings in the stable module category of cyclic groups Balmer, Paul Carlson, Jon F. Representation Theory Category Theory 20C20, 14F20, 18E30 We prove that the only separable commutative ring-objects in the stable module category of a finite cyclic p-group G are the ones corresponding to subgroups of G. We also describe the tensor-closure of the Kelly radical of the module category and of the stable module category of any finite group. |
| title | Separable commutative rings in the stable module category of cyclic groups |
| topic | Representation Theory Category Theory 20C20, 14F20, 18E30 |
| url | https://arxiv.org/abs/1703.10942 |