تقرير
Cubulating random groups in the square model
| العنوان: | Cubulating random groups in the square model |
|---|---|
| المؤلفون: | Odrzygóźdź, Tomasz |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Geometric Topology |
| الوصف: | Our main result is that for densities $<\frac{3}{10}$ a random group in the square model has the Haagerup property and is residually finite. Moreover, we generalize the Isoperimetric Inequality, to some class of non-planar diagrams and, using this, we introduce a system of modified hypergraphs providing the structure of a space with walls on the Cayley complex of a random group. Then we show that the natural action of a random group on this space with walls is proper, which gives the proper action of a random group on a CAT(0) cube complex. Comment: 30 pages, 18 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1610.03376 |
| رقم الأكسشن: | edsarx.1610.03376 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |