Timeline for What's the minimum number of generators for the wild inertia?
Current License: CC BY-SA 3.0
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| Sep 30 at 21:07 | comment | added | krl | The answer to the first question can be found in the book "Cohomology of Number Fields" by Neukirch-Schmidt-Wingberg: according to Prop. 7.5.1, $I_w$ is a free pro-$p$ group on a countably infinite generating set. Therefore $H^1(I_w,\mathbb{F}_p)$ is a countable direct sum of $\mathbb{F}_p$'s. (Note that this also holds when $K$ is a local function field of char $p$.) | |
| May 5, 2012 at 17:25 | answer | added | Keenan Kidwell | timeline score: 7 | |
| May 5, 2012 at 16:00 | history | asked | Kestutis Cesnavicius | CC BY-SA 3.0 |