Timeline for center of fundamental group of finite volume-hyperbolic orbifold
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14, 2012 at 16:34 | answer | added | Roberto Frigerio | timeline score: 6 | |
| Jan 12, 2012 at 22:32 | answer | added | Igor Belegradek | timeline score: 6 | |
| Jan 12, 2012 at 18:54 | comment | added | Anton Petrunin | @Igor, why don't you write it as an answer? | |
| Jan 12, 2012 at 17:35 | comment | added | Igor Belegradek | The center is abelian. Any infinite abelian dicrete group of isometries of the hyperbolic space either fixes a point at infinity, or stabilizes a pair of points at infinity. Since the center is a normal subgroup in a lattice, the whole lattice must stabilize a point or a pair of points at infinity, which in turn would imply that the lattice is virtually abelian, which is nonsense. Thus the center cannot be infinite. Much more generally, the center of an (non-elementary and not parabolic) relatively hyperbolic group is finite. | |
| Jan 12, 2012 at 16:41 | answer | added | Igor Rivin | timeline score: 1 | |
| Jan 12, 2012 at 15:20 | history | asked | user9552 | CC BY-SA 3.0 |