Timeline for A finitely presented group with two simple relations
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 7, 2015 at 21:07 | comment | added | Derek Holt | I am confident that the group is infinite, but I don't have a formal proof. If you calculate the lower $2$-central series of the derived group of $G$ (which has index $21$ in $G$), then you will find that series (apparently) continues indefinitely with a periodic sequence of layers of sizes $3,2,3,3,2,3,3,2,3,3,2,\ldots$. I calculated it to class $50$, and the sequence continues with this pattern. I have seen this behaviour before and it typically indicates a representation of small degree over an infinite local field. I believe there are some techniques for calculating such representations. | |
| Jun 7, 2015 at 15:47 | vote | accept | Alireza Abdollahi | ||
| Jun 7, 2015 at 15:33 | answer | added | Stefan Kohl♦ | timeline score: 7 | |
| Jun 7, 2015 at 15:29 | history | edited | Alireza Abdollahi | CC BY-SA 3.0 |
deleted 5 characters in body
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| Jun 7, 2015 at 14:41 | history | asked | Alireza Abdollahi | CC BY-SA 3.0 |