Free product of Demushkin groups as absolute Galois group
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909295715549184 |
|---|---|
| author | Bar-On, Tamar |
| author_facet | Bar-On, Tamar |
| contents | We prove that a free profinite (pro-$p$) product over a set converging to 1 of countably many Demushkin groups of rank $\aleph_0$, $G_i$, that can be realized as absolute Galois groups, is isomorphic to an absolute Galois group if and only if $\log_pq(G_i)\to \infty$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13875 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Free product of Demushkin groups as absolute Galois group Bar-On, Tamar Number Theory Group Theory We prove that a free profinite (pro-$p$) product over a set converging to 1 of countably many Demushkin groups of rank $\aleph_0$, $G_i$, that can be realized as absolute Galois groups, is isomorphic to an absolute Galois group if and only if $\log_pq(G_i)\to \infty$. |
| title | Free product of Demushkin groups as absolute Galois group |
| topic | Number Theory Group Theory |
| url | https://arxiv.org/abs/2408.13875 |