On the Chevalley-Bass number of a field
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918441130131456 |
|---|---|
| author | Gillibert, Jean Gillibert, Florence Ranieri, Gabriele |
| author_facet | Gillibert, Jean Gillibert, Florence Ranieri, Gabriele |
| contents | We give upper and lower bounds on the Chevalley-Bass number of a field of characteristic zero, whenever this quantity is well-defined. We also describe an algorithm which computes the Chevalley-Bass number of a field, provided its maximal abelian subextension is known. As a primary application, we improve the value of a constant related to exponential diophantine equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_10802 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Chevalley-Bass number of a field Gillibert, Jean Gillibert, Florence Ranieri, Gabriele Number Theory 11R34 (Primary) 11D61 (Secondary) We give upper and lower bounds on the Chevalley-Bass number of a field of characteristic zero, whenever this quantity is well-defined. We also describe an algorithm which computes the Chevalley-Bass number of a field, provided its maximal abelian subextension is known. As a primary application, we improve the value of a constant related to exponential diophantine equations. |
| title | On the Chevalley-Bass number of a field |
| topic | Number Theory 11R34 (Primary) 11D61 (Secondary) |
| url | https://arxiv.org/abs/2604.10802 |