Timeline for Whats the prime-to-$p$ Etale fundamental group of the affine line minus two points over $\mathbb{F}_p$?

8 events

when toggle format	what		by	license	comment
Apr 13, 2017 at 12:58	history	edited	CommunityBot		replaced http://mathoverflow.net/ with https://mathoverflow.net/
Aug 15, 2014 at 7:41	history	edited	Matthias Wendt	CC BY-SA 3.0	added some remarks on Grothendieck-Teichmüller theory and description of the action
Jul 31, 2014 at 9:27	history	edited	Matthias Wendt	CC BY-SA 3.0	added 1281 characters in body
Jul 30, 2014 at 10:28	history	edited	Matthias Wendt	CC BY-SA 3.0	added 1212 characters in body
Jul 30, 2014 at 9:46	comment	added	Matthias Wendt		I will try to get a better description of the action. In principle it should be something like: take an etale covering of $\mathbb{P}^1/\overline{\mathbb{F}_q}$, this is defined over some $\mathbb{F}_{q^n}$, and $\operatorname{Gal}(\mathbb{F}_{q^n}/\mathbb{F}_q)$ acts on the etale covering of $\mathbb{P}^1$. From this one should be able to describe the extension, I will try to make this more explicit.
Jul 30, 2014 at 9:41	history	edited	Matthias Wendt	CC BY-SA 3.0	added 65 characters in body
Jul 30, 2014 at 9:38	comment	added	jacob		I agree with the sequence, but the action of the Galois group of $\mathbb{F}_q$ on $\widehat{F_2}$ seems mysterious to me. Can you please expand on that point?
Jul 30, 2014 at 9:28	history	answered	Matthias Wendt	CC BY-SA 3.0