Timeline for Abelian subgroups of ball quotient
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 11, 2011 at 18:26 | comment | added | BS. | They can appear as subgroups of $PU(2,1)$, but not as a fundamental group, because the finite order elements have fixed points in the complex hyperbolic plane. | |
| Dec 11, 2011 at 18:22 | comment | added | David | Let me also ask a related question. Can $X$ as above contain a homologically essential real two dimensional submanifold that realizes the subgroup $\mathbb{Z} \oplus \mathbb{Z}_{n}$? I suspect the answer is no, but I am not able to prove it. | |
| Dec 11, 2011 at 17:56 | comment | added | David | Thank you very much for your answer. Do you know if the subgroups of the form $\mathbb{Z} \oplus \mathbb{Z}_{n}$ can occur, where $n \geq 2$? | |
| Dec 11, 2011 at 17:49 | vote | accept | David | ||
| Dec 11, 2011 at 10:32 | history | answered | BS. | CC BY-SA 3.0 |