Timeline for Infinitely divisible elements in Gromov hyperbolic groups
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 24, 2022 at 18:02 | vote | accept | Misha Verbitsky | ||
| Sep 22, 2022 at 21:43 | answer | added | Sam Nead | timeline score: 6 | |
| Sep 22, 2022 at 20:03 | history | edited | Misha Verbitsky | CC BY-SA 4.0 |
added 18 characters in body
|
| Sep 22, 2022 at 20:02 | comment | added | Misha Verbitsky | Thanks! Yes, I was asking about an ifinite order element. I will make a correction | |
| Sep 22, 2022 at 19:40 | comment | added | YCor | Let $g$ be of infinite order, with arbitrary large roots $g_n$. Each $g_n$ commutes with $g$. But the centralizer of $g$ is finite-by-cyclic, i.e., surjects onto $\mathbf{Z}$ with finite kernel. Projecting, we get a contradiction. | |
| Sep 22, 2022 at 19:38 | comment | added | YCor | Torsion elements are infinitely divisible. So you're asking about elements of infinite order. | |
| Sep 22, 2022 at 19:33 | history | asked | Misha Verbitsky | CC BY-SA 4.0 |