Abstract
Given a group action on a finite-dimensional CAT (0)\mathrmCAT(0) cube complex, we give a simple criterion phrased purely in terms of cube stabilisers that ensures that the group satisfies the strong Tits alternative, provided that each vertex stabiliser satisfies the strong Tits alternative. We use it to prove that all Artin groups of type FC satisfy the strong Tits alternative.
| Original language | English |
|---|---|
| Pages (from-to) | 563–573 |
| Number of pages | 11 |
| Journal | Journal of Group Theory |
| Volume | 23 |
| Issue number | 4 |
| Early online date | 19 Mar 2020 |
| DOIs | |
| Publication status | Published - 1 Jul 2020 |
ASJC Scopus subject areas
- Algebra and Number Theory