تقرير
Finitely presented condensed groups
| العنوان: | Finitely presented condensed groups |
|---|---|
| المؤلفون: | Osin, D. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | Let $\mathcal G$ denote the space of finitely generated marked groups. For any finitely generated group $G$, we construct a continuous, injective map $f$ from the space of subgroups $Sub(G)$ to $\mathcal G$ that sends conjugate subgroups to isomorphic marked groups; in addition, if $G$ is finitely presented and $H\le G$ is finitely generated, then $f(H)$ is finitely presented. This result allows us to transfer various topological phenomena occurring in $Sub(G)$ to $\mathcal G$. In particular, we provide the first example of a finitely presented group whose isomorphism class in $\mathcal G$ has no isolated points. Comment: v2: typos corrected. To appear in Proc. Amer. Math. Soc |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2305.08007 |
| رقم الأكسشن: | edsarx.2305.08007 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |