Corestricted Free Products of Profinite Groups
We introduce the notion of corestricted free products of a family of profinite groups indexed over an arbitrary profinite space. Using arithmetic results of the second author, this enables us to prove an analogue of Riemann's existence theorem for the decomposition groups of certain infinite se...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We introduce the notion of corestricted free products of a family of
profinite groups indexed over an arbitrary profinite space. Using arithmetic
results of the second author, this enables us to prove an analogue of Riemann's
existence theorem for the decomposition groups of certain infinite sets of
primes of a number field. |
|---|---|
| DOI: | 10.48550/arxiv.1312.3841 |