Timeline for Mapping property of $p$-Sylow groups of profinite groups
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 1, 2020 at 3:35 | comment | added | YCor | @QiaochuYuan thanks, I was not careful. I should have said, for $T$ a profinite abelian group. | |
| Dec 1, 2020 at 3:31 | comment | added | Qiaochu Yuan | @YCor: really? That doesn't seem right. If, say, $T = S^1$ then what I'd expect (using that Pontryagin duality is an equivalence of categories) is $\text{Hom}(\prod G_p, S^1) \cong \oplus_p \text{Hom}(G_p, S^1)$. | |
| Nov 30, 2020 at 23:13 | comment | added | curious math guy | @YCor What is the argument in that case? | |
| Nov 30, 2020 at 23:03 | comment | added | YCor | If $T$ is a compact abelian group and Hom refers to continuous group homomorphisms, this is an isomorphism. | |
| Nov 30, 2020 at 22:46 | history | asked | curious math guy | CC BY-SA 4.0 |