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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.17483 |
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| _version_ | 1866914488820695040 |
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| author | Balmer, Paul Gallauer, Martin |
| author_facet | Balmer, Paul Gallauer, Martin |
| contents | Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove that this category decomposes over cyclic and generalized quaternion groups and only in those cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17483 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Permutation, stabilization and decomposition Balmer, Paul Gallauer, Martin Representation Theory Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove that this category decomposes over cyclic and generalized quaternion groups and only in those cases. |
| title | Permutation, stabilization and decomposition |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2604.17483 |