Timeline for Examples of hyperbolic groups
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| Aug 14, 2019 at 4:06 | comment | added | Temari | Thank you very much! :) | |
| Aug 9, 2019 at 7:38 | history | edited | Guntram | CC BY-SA 4.0 |
grouped examples into categories and sorted them; please correct if not OK
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| Aug 9, 2019 at 5:50 | comment | added | AGenevois | @Temari: I added two references about this example. | |
| Aug 9, 2019 at 5:49 | history | edited | AGenevois | CC BY-SA 4.0 |
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| Aug 8, 2019 at 3:08 | comment | added | Temari | @AGenevois Hie! Can you please provide me a reference for bullet# 12, the pseudo-Anosov example? | |
| Aug 7, 2019 at 6:53 | comment | added | YCor | I think the wording about RA Coxeter groups and graphs products is still confusing. For instance "They [Coxeter groups without $Z^2$] include RA Coxeter groups" seems to say that every RA Coxeter group has no $Z^2$, which is false, maybe just say "include many Coxeter RA groups"? As regards graph products, apart from free products, not many work (the only hyperbolic graph product of infinite hyperbolic groups is the free product). | |
| Aug 7, 2019 at 5:53 | history | edited | AGenevois | CC BY-SA 4.0 |
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| Aug 7, 2019 at 5:52 | comment | added | AGenevois | The criterion I gave about hyperbolic Coxeter groups is not correct. I edited my message. (I also took into account your comment about random groups, thank you.) | |
| Aug 7, 2019 at 5:50 | comment | added | AGenevois | In the last point, I didn't mean that the family of hyperbolic groups is stable by all graph products, but only some of them (similarly for graphs of groups). I refer to Meier's article When is a graph product of hyperbolic groups hyperbolic? for a precise characterisation. | |
| Aug 6, 2019 at 23:00 | comment | added | YCor | Random groups in Gromov's density model are hyperbolic in all densities; below some density rather ensures they're non-elementary. | |
| Aug 6, 2019 at 22:58 | comment | added | YCor | "Coxeter groups defined by square-free graphs": probably you don't consider the standard graphs (where edges labeled by $2$ are omitted) but omit instead only edges labeled $\infty$? | |
| Aug 6, 2019 at 22:56 | comment | added | YCor | It's not stable under graph product (not even under direct products). | |
| Aug 6, 2019 at 14:23 | comment | added | Temari | Thank you, much appreciated! I will try finding the sources on the basis of the keywords provided. | |
| Aug 6, 2019 at 14:21 | vote | accept | Temari | ||
| Aug 6, 2019 at 13:18 | history | answered | AGenevois | CC BY-SA 4.0 |