Timeline for Haar measure on Galois groups
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 20, 2012 at 10:37 | comment | added | Marc Palm | Both your question (up to normalization) can be answered with yes. These procedures are connected to the quotient measure (pretty wellknown). The more interesting question is what are the normalizations and how to justify them. | |
| Nov 20, 2012 at 9:41 | comment | added | Filippo Alberto Edoardo | Ah ok, I see. Indeed, I agree that there is no much more to say. Thank you! | |
| Nov 20, 2012 at 9:39 | comment | added | S. Carnahan♦ | To be explicit, a subgroup of volume $1/n$ has index $n$, and if it is open and normal, then it can be identified with the absolute Galois group of a Galois extension of degree $n$. By uniqueness up to normalization, there really isn't much more to say. | |
| Nov 20, 2012 at 9:31 | comment | added | Qiaochu Yuan | Haar measure on a profinite group is uniquely determined by the fact that it pushes forward to Haar measure on all finite quotients. Do you want a more explicit description than this? | |
| Nov 20, 2012 at 9:11 | history | asked | Filippo Alberto Edoardo | CC BY-SA 3.0 |