Timeline for When is the following preorder on the set of central elements of order 2 a total preorder?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 12, 2020 at 3:42 | comment | added | user6976 | It is too optimistic. | |
| Jan 12, 2020 at 3:30 | comment | added | user145520 | @MarkSapir I was hoping for something less tautological (but maybe it is overly optimistic). | |
| Jan 12, 2020 at 3:17 | comment | added | user6976 | These are precisely the groups where for any two central involutions there is an endomorphism taking one of them to the other. | |
| Jan 11, 2020 at 16:47 | comment | added | Andreas Blass | @WlodAA A preorder is called total if the canonical partially ordered quotient is totally ( = linearly) ordered, i.e., every two elements are comparable. (So Mark Sapir seems to be saying that "central" in the OP's definition of $S$ doesn't matter.) | |
| Jan 11, 2020 at 6:45 | comment | added | Wlod AA | "For which 2-groups is this preorder total?" -- total? (What does it mean in this context)? | |
| Jan 11, 2020 at 5:18 | history | asked | user145520 | CC BY-SA 4.0 |