Splitting of Clifford groups associated to finite abelian groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918409208332288 |
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| author | Galindo, César |
| author_facet | Galindo, César |
| contents | The Clifford group associated with a finite abelian group gives rise to a natural extension by the corresponding symplectic group. We prove that this extension splits as a semidirect product if and only if the group order is not divisible by four. This confirms a conjecture of Korbelář and Tolar and extends their cyclic result to arbitrary finite abelian groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24743 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Splitting of Clifford groups associated to finite abelian groups Galindo, César Group Theory Mathematical Physics The Clifford group associated with a finite abelian group gives rise to a natural extension by the corresponding symplectic group. We prove that this extension splits as a semidirect product if and only if the group order is not divisible by four. This confirms a conjecture of Korbelář and Tolar and extends their cyclic result to arbitrary finite abelian groups. |
| title | Splitting of Clifford groups associated to finite abelian groups |
| topic | Group Theory Mathematical Physics |
| url | https://arxiv.org/abs/2603.24743 |