تقرير
Negative curvature in locally reducible Artin groups
| العنوان: | Negative curvature in locally reducible Artin groups |
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| المؤلفون: | Mastrocola, Jill |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | In this paper, we define the 2-complete Artin complex and show that it is systolic for locally reducible Artin groups. The stabilizers of simplices in this complex are exactly the proper parabolic subgroups which are "2-complete." We use this systolicity to show that parabolic subgroups, with 2-completions that are not the whole Artin group, are weakly malnormal. This allows us to conclude that many locally reducible Artin groups are acylindrically hyperbolic. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.00173 |
| رقم الأكسشن: | edsarx.2405.00173 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |