تقرير
Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups
| العنوان: | Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups |
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| المؤلفون: | Abbott, Carolyn, Hagen, Mark, Petyt, Harry, Zalloum, Abdul |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Group Theory |
| الوصف: | We show that infinite cyclic subgroups of groups acting uniformly metrically properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic groups, we use this to study translation lengths for actions on the associated hyperbolic spaces. Then we use quasimorphisms to produce examples where these latter results are sharp. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.09742 |
| رقم الأكسشن: | edsarx.2305.09742 |
| قاعدة البيانات: | arXiv |
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