Timeline for Etale Fundamental group of an algebraic group
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 11, 2015 at 14:04 | comment | added | Mikhail Borovoi | @AllyMath: Prop. 1.11 gives the topological fundamental group $\mathbb{Z}$, then you should take the profinite completion in order to get the étale fundamental group $\widehat{\mathbb{Z}}$. | |
| May 10, 2015 at 10:24 | comment | added | Z.A.Z.Z | When I apply the prop 1.11 to the case $G=GL_r$, I got $\pi_1(GL_r)=Hom(\mathbb Z,\mathbb Z)=\mathbb Z$ But As @abx said, $\pi_1(GL_r)=\hat{\mathbb Z}$ ?? what is the problem here? | |
| May 5, 2015 at 16:55 | vote | accept | Z.A.Z.Z | ||
| May 5, 2015 at 1:33 | history | answered | Mikhail Borovoi | CC BY-SA 3.0 |