Timeline for Finitely presented sub-groups of $\operatorname{GL}(n,C)$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 2, 2023 at 17:44 | history | edited | Ian Agol | CC BY-SA 4.0 |
edited body
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| Jun 22, 2022 at 7:16 | history | edited | CommunityBot |
replaced http://front.math.ucdavis.edu/ with https://arxiv.org/abs/
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| Sep 28, 2010 at 1:19 | comment | added | Autumn Kent | Mosher constructed hyperbolic surface-by-free groups, and I think the existence of a hyperbolic free-by-surface group is open. (This could be a matter of the two of us having differing terminology.) | |
| Dec 26, 2009 at 23:45 | comment | added | HJRW | There are some highly non-trivial consequences of linearity that are "only just" known for mapping class groups. I'm thinking of the "equationally Noetherian" property, which says that every variety over a group G can be defined using only finitely many equations. This is an immediate consequence of Hilbert's Basis Theorem for linear groups; for mapping class groups, it's a consequence of highly non-trivial forthcoming work of Daniel Groves. | |
| Dec 24, 2009 at 12:39 | comment | added | Dmitri Panov | Very interesting! This summer in CRIM I heard from somebody (maybe Benson Farb) that while it is unknown that mapping class group is linear, all the possible corrolaries that hold for linear groups also holds for this group. So your answer shows that proving that mapping class group is linear will have some applications :)! | |
| Dec 24, 2009 at 6:52 | history | edited | Ian Agol | CC BY-SA 2.5 |
added 787 characters in body; added 16 characters in body
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| Dec 24, 2009 at 2:53 | comment | added | Greg Kuperberg | I can't say that I made a conscious distinction. In any case your reference is good. | |
| Dec 23, 2009 at 22:28 | history | answered | Ian Agol | CC BY-SA 2.5 |