Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2504.16509 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913805485735936 |
|---|---|
| author | A., Ambily A. Pradeep, Gayathry |
| author_facet | A., Ambily A. Pradeep, Gayathry |
| contents | We prove the dilation principle for the relative Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group and using the dilation principle we prove the Quillen's analog of the local-global principle for the group. Applying the relative local-global principle, we prove the solvability and nilpotency of the ${\rm SK_1}$-analog of the orthogonal groups and study the homotopy and commutativity principle for odd elementary orthogonal groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solvability of the ${\rm SK}_1$-analog of the orthogonal groups A., Ambily A. Pradeep, Gayathry K-Theory and Homology 19G99, 13C10, 11E70, 20H25, 13H99, 20F16 We prove the dilation principle for the relative Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group and using the dilation principle we prove the Quillen's analog of the local-global principle for the group. Applying the relative local-global principle, we prove the solvability and nilpotency of the ${\rm SK_1}$-analog of the orthogonal groups and study the homotopy and commutativity principle for odd elementary orthogonal groups. |
| title | Solvability of the ${\rm SK}_1$-analog of the orthogonal groups |
| topic | K-Theory and Homology 19G99, 13C10, 11E70, 20H25, 13H99, 20F16 |
| url | https://arxiv.org/abs/2504.16509 |