The self-dual indecomposable modules in blocks with cyclic defect groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909431189471232 |
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| author | Lassueur, Caroline Murray, John |
| author_facet | Lassueur, Caroline Murray, John |
| contents | Let $p$ be an odd prime and let $\mathbf{B}$ be a $p$-block of a finite group, such that $\mathbf{B}$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}$-modules and for each such module determine whether it is symplectic or orthogonal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05562 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The self-dual indecomposable modules in blocks with cyclic defect groups Lassueur, Caroline Murray, John Representation Theory Group Theory Primary 20C15, 20C20. Secondary 16G70 Let $p$ be an odd prime and let $\mathbf{B}$ be a $p$-block of a finite group, such that $\mathbf{B}$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}$-modules and for each such module determine whether it is symplectic or orthogonal. |
| title | The self-dual indecomposable modules in blocks with cyclic defect groups |
| topic | Representation Theory Group Theory Primary 20C15, 20C20. Secondary 16G70 |
| url | https://arxiv.org/abs/2409.05562 |