The Elementary Type Conjecture for Maximal Pro-p Galois groups
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911151328067584 |
|---|---|
| author | Efrat, Ido |
| author_facet | Efrat, Ido |
| contents | The Elementary Type Conjecture in Galois theory provides a concrete inductive description of the finitely generated maximal pro-$p$ Galois groups $G_F(p)$ of fields $F$ containing a root of unity of order $p$. We describe several variants of this conjecture, and prove various connections between these variants and other conjectures in field and Galois theory. We focus on a strong arithmetical variant of the conjecture, and its implications to the realization of pro-$p$ Demuskin groups as Galois groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Elementary Type Conjecture for Maximal Pro-p Galois groups Efrat, Ido Number Theory Primary 12F10, Secondary 12G05, 20J06, 13A18, 12E30 The Elementary Type Conjecture in Galois theory provides a concrete inductive description of the finitely generated maximal pro-$p$ Galois groups $G_F(p)$ of fields $F$ containing a root of unity of order $p$. We describe several variants of this conjecture, and prove various connections between these variants and other conjectures in field and Galois theory. We focus on a strong arithmetical variant of the conjecture, and its implications to the realization of pro-$p$ Demuskin groups as Galois groups. |
| title | The Elementary Type Conjecture for Maximal Pro-p Galois groups |
| topic | Number Theory Primary 12F10, Secondary 12G05, 20J06, 13A18, 12E30 |
| url | https://arxiv.org/abs/2509.10168 |