Timeline for An inequality for Fuchsian groups?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 19, 2015 at 10:21 | comment | added | HJRW | As @ThiKu's answer shows, the problem here is that the natural relationship is between $\beta^1_2(G)$ and the (orbifold) Euler characteristic, $\chi(G)$. In the setting of free or surface groups, $\chi(G)$ is closely related to $d(G)$, but that relationship breaks down in orbifold groups. | |
| Nov 19, 2015 at 8:37 | vote | accept | Pablo | ||
| Nov 19, 2015 at 5:36 | answer | added | ThiKu | timeline score: 5 | |
| Nov 18, 2015 at 16:48 | comment | added | Pablo | @IgorRivin Well, this holds for free nonabelian groups, and hopefully also for surface groups (right?). Maybe my claim can be deduced from these facts using the observation that Fuchsian groups are virtually surface groups. Furthermore, if this is true, I can give a quick proof of the well known fact that $G$ does not have a nontrivial finite normal subgroup. | |
| Nov 18, 2015 at 16:30 | comment | added | Igor Rivin | Why would you think that? What is the background? | |
| Nov 18, 2015 at 13:59 | history | edited | Pablo | CC BY-SA 3.0 |
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| Nov 18, 2015 at 13:01 | history | asked | Pablo | CC BY-SA 3.0 |