Verbal width in arithmetic Chevalley groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917866601709568 |
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| author | Gvozdevsky, Pavel |
| author_facet | Gvozdevsky, Pavel |
| contents | We prove that the width of any word in a simply connected Chevalley group of rank at least 2 over the ring that is a localisation of the ring of integers in a number field is bounded by a constant that depends only on the root system and on the degree of the number field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02934 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Verbal width in arithmetic Chevalley groups Gvozdevsky, Pavel Group Theory 20G35 (Primary) 20H05, 11R04 (Secondary) We prove that the width of any word in a simply connected Chevalley group of rank at least 2 over the ring that is a localisation of the ring of integers in a number field is bounded by a constant that depends only on the root system and on the degree of the number field. |
| title | Verbal width in arithmetic Chevalley groups |
| topic | Group Theory 20G35 (Primary) 20H05, 11R04 (Secondary) |
| url | https://arxiv.org/abs/2401.02934 |