Stability, bounded generation and strong boundedness
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911112589475840 |
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| author | Trost, Alexander |
| author_facet | Trost, Alexander |
| contents | We provide bounds linear in the rank for the generalized conjugacy diameters, introduced by Kedra, Libman and Martin, for the special linear and symplectic groups defined over the rings of integers of global fields by way of using certain stability considerations familiar from classical algebraic K-theory. This determines the growth rates of these generalized conjugacy diameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability, bounded generation and strong boundedness Trost, Alexander Group Theory 20G25, 20G30 We provide bounds linear in the rank for the generalized conjugacy diameters, introduced by Kedra, Libman and Martin, for the special linear and symplectic groups defined over the rings of integers of global fields by way of using certain stability considerations familiar from classical algebraic K-theory. This determines the growth rates of these generalized conjugacy diameters. |
| title | Stability, bounded generation and strong boundedness |
| topic | Group Theory 20G25, 20G30 |
| url | https://arxiv.org/abs/2305.11562 |