Timeline for Are finitely generated subgroups of $\text{GL}_n(\mathbb{Q})$ virtually special?
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 14 at 7:14 | comment | added | HJRW | For clarity, perhaps I'll spell out the argument. (I got a bit confused above -- see comments -- so perhaps others may too.) Virtually special means "virtually embeds in a RAAG", without any cocompactness assumption. RAAGs act properly and cocompactly on their Salvetti complexes. In a group acting properly and cocompactly on a CAT(0) space, every infinite-order element has a positive translation-length, and in particular is undistorted. But every finite-index subgroup of $BS(1,n)$ has a distorted infinite-cyclic subgroup. | |
| Jul 12 at 2:21 | vote | accept | user2357 | ||
| Jul 11 at 22:41 | history | answered | Matt Zaremsky | CC BY-SA 4.0 |