Timeline for Not very transitive actions
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 11, 2022 at 14:07 | comment | added | Nick Gill | Bill Kantor has a paper that classifies the $k$-homogeneous groups that aren't $k$-transitive. pages.uoregon.edu/kantor/PAPERS/k-Homogeneous.pdf I believe that this paper does not use CFSG.... Which means that were one to find a CFSG-free proof of $k$-homogeneous groups for some $k$, then you would have a CFSG-free proof of Jordan's conjecture and that is beyond our current knowledge: mathoverflow.net/questions/161280/… | |
| Nov 11, 2022 at 10:25 | comment | added | IJL | @AntonPetrunin I don't know about removing the reliance on CFSG. | |
| Nov 11, 2022 at 10:24 | comment | added | IJL | @RichardStanley I hadn't noticed this - thank you. | |
| Nov 11, 2022 at 3:39 | comment | added | Richard Stanley | An $m$-transitive group is transitive on ordered $m$-tuples of distinct elements, not $m$-element sets. (The latter property is called $m$-homogeneous.) Thus Theorem 4.11 does not quite give what you want. See, however, math.stackexchange.com/questions/4207740. | |
| Nov 10, 2022 at 20:38 | comment | added | Anton Petrunin | Can you make it without CFSG for large $m$? | |
| Nov 10, 2022 at 18:25 | vote | accept | Anton Petrunin | ||
| Nov 10, 2022 at 17:21 | history | answered | IJL | CC BY-SA 4.0 |