Timeline for Are groups determined by their morphisms from solvable groups?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 18, 2021 at 20:30 | vote | accept | Chris H | ||
| Oct 18, 2021 at 18:44 | comment | added | Tim Campion | By the way the category-theoretic term is dense. That is, you're asking whether the solvable groups are dense among all groups, or among some restricted subcategory thereof. | |
| Oct 18, 2021 at 18:41 | comment | added | Tim Campion | Sylow subgroups are solvable, and finite groups are in some sense "controlled" by their Sylow subgroups, right? So it seems reasonable to guess that maybe you get a positive answer for finite groups. In any event, if you keep track of the whole groupoid of homomorphisms from each solvable group to $G$, then you probably get much closer to a positive answer -- but maybe that's cheating? | |
| Oct 18, 2021 at 12:50 | history | edited | YCor |
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| Oct 18, 2021 at 8:13 | history | became hot network question | |||
| Oct 18, 2021 at 6:26 | history | edited | YCor | CC BY-SA 4.0 |
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| Oct 18, 2021 at 0:56 | answer | added | markvs | timeline score: 25 | |
| Oct 18, 2021 at 0:12 | history | asked | Chris H | CC BY-SA 4.0 |