Timeline for Lyndon-Schützenberger for torsion-free hyperbolic groups
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| S Apr 19, 2015 at 6:56 | history | suggested | Seirios | CC BY-SA 3.0 |
Improved formating and edited tags
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| Apr 19, 2015 at 6:28 | review | Suggested edits | |||
| S Apr 19, 2015 at 6:56 | |||||
| S Apr 19, 2015 at 4:06 | history | suggested | Duchamp Gérard H. E. | CC BY-SA 3.0 |
I corrected theee title (I am a one of Schützenberger's student)
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| Apr 19, 2015 at 3:49 | review | Suggested edits | |||
| S Apr 19, 2015 at 4:06 | |||||
| Jun 25, 2013 at 20:56 | vote | accept | Alexey Kvashchuk | ||
| Jun 25, 2013 at 18:24 | comment | added | YCor | ah ok you're right. But anyway for a discrete hyperbolic group, "torsion-free" is a very strong hypothesis while "trivial finite radical" is a very weak hypothesis (as we can always boil down to it by modding out). | |
| Jun 25, 2013 at 0:44 | comment | added | Alexey Kvashchuk | but thanks for confirming the answer to the second question. the argument with disjoint ends works. | |
| Jun 25, 2013 at 0:43 | comment | added | Alexey Kvashchuk | Yves, the $G$ is assumed torsion-free.... | |
| Jun 24, 2013 at 21:30 | comment | added | YCor | PS: for these question we need the hyperbolic group to have a trivial finite radical (the finite radical $W(G)$ is the largest finite normal subgroup, which in a discrete hyperbolic group $G$ does exist). Otherwise the last question has stupid counterexamples (take semidirect products $M\rtimes F$ with $M$ finite and $F$ free). Or alternatively replace everywhere "commute" by "commute modulo $W(G)$". | |
| Jun 24, 2013 at 21:25 | comment | added | YCor | for the last question, two non-commuting elements of infinite order in a discrete hyperbolic group have disjoint ends (the ends of a hyperbolic isometry are the two fixed ends). So Gromov's argument of freeness (for some suitable powers) works with no change. | |
| Jun 24, 2013 at 20:32 | answer | added | user6976 | timeline score: 8 | |
| Jun 24, 2013 at 19:46 | history | asked | Alexey Kvashchuk | CC BY-SA 3.0 |