Timeline for Minimal number of generators of satellite knot groups
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2021 at 21:11 | vote | accept | Shijie Gu | ||
| Jul 21, 2021 at 2:04 | answer | added | Josh Howie | timeline score: 4 | |
| Jul 17, 2021 at 21:11 | comment | added | HJRW | In general there aren’t good results known for ranks of amalgams. A very basic question might be: must the rank of a non-trivial satellite knot be at least 3? | |
| Jul 17, 2021 at 14:04 | comment | added | Wojowu | @MarkSapir All knots have abelianized fundamental group isomorphic to $\mathbb Z$, so you won't get any nontrivial bounds the way you suggest. The linked thread discusses some nontrivial results for knot groups. | |
| Jul 16, 2021 at 20:13 | history | asked | Shijie Gu | CC BY-SA 4.0 |