Timeline for When is a map given by a word surjective?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2021 at 23:57 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
fixed arxiv front-end link, gave full paper details and doi link
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| Sep 18, 2010 at 16:29 | comment | added | Pasha Zusmanovich | Another paper treating a similarly-looking question is: N. Gordeev and U. Rehmann, On multicommutators for simple algebraic groups, J. Algebra 245 (2001), 275-296 mathematik.uni-bielefeld.de/LAG/man/056.html dx.doi.org/10.1006/jabr.2001.8929 . It is proved there that for a simple algebraic group $G$ of sufficiently large Coxeter number, the map $G^{n+1} \to G^n, (g,g_1, ..., g_n) \mapsto ([g,g_1], ..., [g,g_n])$ is dominant. But, again, probably the similarity is superficial. | |
| Oct 16, 2009 at 16:55 | comment | added | H A Helfgott | Thanks for the link, but the question seems pretty different. There it's clear what the answer ought to be - here I am not so positive of my guess. | |
| Oct 16, 2009 at 14:08 | history | answered | David E Speyer | CC BY-SA 2.5 |