Totally ramified subfields of $p$-Algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916128547143680 |
|---|---|
| author | Chapman, Adam Srimathy, S. |
| author_facet | Chapman, Adam Srimathy, S. |
| contents | We conjecture that a $p$-algebra over a complete discrete valued field $K$ contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyclic maximal subfield. We prove the conjecture in several cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10829 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Totally ramified subfields of $p$-Algebras Chapman, Adam Srimathy, S. Rings and Algebras Number Theory 16K20 16W60 We conjecture that a $p$-algebra over a complete discrete valued field $K$ contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyclic maximal subfield. We prove the conjecture in several cases. |
| title | Totally ramified subfields of $p$-Algebras |
| topic | Rings and Algebras Number Theory 16K20 16W60 |
| url | https://arxiv.org/abs/2402.10829 |