Schur rings over ${\bf {\rm Sp}(n,2)}$ and multiplicity one subgroups
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929310731862016 |
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| author | Humphries, Stephen P. |
| author_facet | Humphries, Stephen P. |
| contents | We study commutative Schur rings over the symplectic groups Sp$(n,2)$ containing the class $\mathcal C$ of symplectic transvections. We find the possible partitions of $\mathcal C$ determined by the Schur ring. We show how this restricts the possibilities for multiplicity one subgroups of Sp$(n,2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07379 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schur rings over ${\bf {\rm Sp}(n,2)}$ and multiplicity one subgroups Humphries, Stephen P. Group Theory Combinatorics 05B10 We study commutative Schur rings over the symplectic groups Sp$(n,2)$ containing the class $\mathcal C$ of symplectic transvections. We find the possible partitions of $\mathcal C$ determined by the Schur ring. We show how this restricts the possibilities for multiplicity one subgroups of Sp$(n,2)$. |
| title | Schur rings over ${\bf {\rm Sp}(n,2)}$ and multiplicity one subgroups |
| topic | Group Theory Combinatorics 05B10 |
| url | https://arxiv.org/abs/2404.07379 |