Timeline for Index of derived subgroup in derived group
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Sep 20, 2012 at 14:41 | comment | added | user6976 | I included the proof in my answer. | |
| Sep 20, 2012 at 14:28 | comment | added | randl | I think so too, but cannot find nor develop a proof. | |
| Sep 20, 2012 at 14:22 | history | edited | user6976 | CC BY-SA 3.0 |
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| Sep 20, 2012 at 14:11 | comment | added | user6976 | For nilpotent groups $|G':H'|$ should be finite, I think. | |
| Sep 20, 2012 at 13:51 | comment | added | randl | If I am not mistaken, for an infinite nilpotent group $G$ the derived group $G^\prime$ must have infinite index. So the general statement in your third sentence does not apply. How do things look if $G$ is nilpotent? | |
| Sep 20, 2012 at 13:47 | vote | accept | randl | ||
| Sep 20, 2012 at 13:43 | history | edited | user6976 | CC BY-SA 3.0 |
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| Sep 20, 2012 at 13:08 | history | answered | user6976 | CC BY-SA 3.0 |