Timeline for Can all terms of the Johnson filtration be hom-mapped onto the same nontrival group?
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 21, 2010 at 5:58 | vote | accept | VladAr | ||
| Aug 21, 2010 at 4:54 | answer | added | VladAr | timeline score: 5 | |
| Aug 12, 2010 at 21:31 | comment | added | HJRW | The paper in question is: Gilman, Robert, Finite quotients of the automorphism group of a free group, Canad. J. Math. 29 (1977), no. 3, 541--551. | |
| Aug 12, 2010 at 21:28 | comment | added | VladAr | Thank you very much indeed. What is required of Aut(Fnk(Fn)) to guarantee existence of an example in question seems to be probable. | |
| Aug 12, 2010 at 21:05 | comment | added | HJRW | Gilman proved that $\mathrm{Aut}(F_n)$ is residually finite alternating. So there is an example unless $\mathrm{Aut}(F_n/\gamma_k(F_n))$ map onto arbitrarily large alternating groups as $k\to\infty$. I've no idea whether the latter is true or not. | |
| Aug 12, 2010 at 20:48 | history | asked | VladAr | CC BY-SA 2.5 |