تقرير
Coarse obstructions to cocompact cubulation
| العنوان: | Coarse obstructions to cocompact cubulation |
|---|---|
| المؤلفون: | Munro, Zachary, Petyt, Harry |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Metric Geometry |
| الوصف: | We provide geometric methods to both lower- and upper-bound the large-scale dimension of CAT(0) cube complexes quasiisometric to a given group $G$. When these bounds overlap, this provides obstructions to $G$ being cocompactly cubulated. More strongly, it prevents $G$ from being a coarse median space. As applications, we show that many free-by-cyclic groups cannot be cocompactly cubulated, and that any tubular group with a coarse median is virtually compact special. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.09275 |
| رقم الأكسشن: | edsarx.2407.09275 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |