Timeline for The center of a derived subgroup in an amenable group
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| May 12, 2013 at 2:14 | comment | added | user6976 | There is no word "infinite" in the question. If you really want infinite, take the wreath product $S_5\wr {\mathbb Z}$. | |
| May 12, 2013 at 1:22 | comment | added | Alireza Abdollahi | @Mahdi: You have not mentioned in your question that the requested group must be infinite, so Mark's answer is Ok. | |
| May 12, 2013 at 0:17 | comment | added | Mahdi Teymuri Garakani | @Mark Sapir: An infinite group? | |
| May 12, 2013 at 0:09 | comment | added | user6976 | Consider $S_5$. | |
| May 11, 2013 at 21:59 | comment | added | Mustafa Gokhan Benli | Grigorchuk group is amenable. One can show (by virtue of the branch property) that the center of every derived subgroup is trivial. | |
| May 11, 2013 at 21:17 | comment | added | Igor Belegradek | Juschenko-Monod recently constructed a f.g. simple infinite amenable group $G$. Clearly it has trivial center and its derived subgroups all equal $G$. | |
| May 11, 2013 at 20:52 | history | asked | Mahdi Teymuri Garakani | CC BY-SA 3.0 |