Single conjugacy classes of isometries in orthogonal groups over local fields
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908849807556608 |
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| author | Xu, Fei Zhang, Bo |
| author_facet | Xu, Fei Zhang, Bo |
| contents | All isometries $σ$ in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry $τ$ which is conjugate to $σ$ in the general linear group is conjugate to $σ$ in the orthogonal group are determined. This extends \cite[Theorem 2.1]{Mil} to arbitary cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_20481 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Single conjugacy classes of isometries in orthogonal groups over local fields Xu, Fei Zhang, Bo Number Theory All isometries $σ$ in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry $τ$ which is conjugate to $σ$ in the general linear group is conjugate to $σ$ in the orthogonal group are determined. This extends \cite[Theorem 2.1]{Mil} to arbitary cases. |
| title | Single conjugacy classes of isometries in orthogonal groups over local fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.20481 |