Timeline for What does it matter if a group has a non-elementary hyperbolic quotient?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 26, 2021 at 17:59 | vote | accept | Ethan Dlugie | ||
| Jan 22, 2021 at 8:40 | history | edited | HJRW | CC BY-SA 4.0 |
Added small clarification.
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| Jan 22, 2021 at 7:51 | comment | added | AGenevois | Oh, I didn't notice. Comment removed. | |
| Jan 22, 2021 at 7:07 | comment | added | HJRW | @AGenevois: if you look at the comments on v2, you’ll see it has been retracted. | |
| Jan 21, 2021 at 22:30 | comment | added | HJRW | @dodd: indeed. But it’s interesting that their computer programme hasn’t yet told us that any mapping class groups have property T. Regardless, the point is that the finite quotients of mapping class groups are interesting, and hyperbolic quotients suggest a means of studying them. | |
| Jan 21, 2021 at 22:26 | comment | added | markvs | That paper appeared 13 years ago, has never been published as far as I know and has been discussed here mathoverflow.net/questions/87310/…. On the other hand the paper arxiv.org/abs/1812.03456 will be soon (hopefully) published in the Annals of Mathematics. | |
| Jan 21, 2021 at 22:17 | comment | added | HJRW | @dodd: As you say, that would answer question 1. But the jury is out as to whether it is "most probably" true. Indeed, some (admittedly, not many) people think the reverse has been proved. arxiv.org/abs/0706.2184 | |
| Jan 21, 2021 at 22:12 | comment | added | markvs | The mapping class groups most probably have property (T) if the genus is large enough. This would kill question 1. | |
| Jan 21, 2021 at 22:05 | history | answered | HJRW | CC BY-SA 4.0 |