تقرير
Lifting subgroups of $\mathrm{PSL}_2$ to $\mathrm{SL}_2$ over local fields
| العنوان: | Lifting subgroups of $\mathrm{PSL}_2$ to $\mathrm{SL}_2$ over local fields |
|---|---|
| المؤلفون: | Andrew, Naomi, Conder, Matthew J., Markowitz, Ari, Schillewaert, Jeroen |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematics - Number Theory, 20G25 (Primary) 20E08 (Secondary) |
| الوصف: | Let $K$ be a non-archimedean local field. We show that discrete subgroups without 2-torsion in $\mathrm{PSL}_2(K)$ can always be lifted to $\mathrm{SL}_2(K)$, and provide examples (when $\mathrm{char}(K) \neq 2$) which cannot be lifted if either of these conditions is removed. We also briefly discuss lifting representations of groups into $\mathrm{PSL}_2(K)$ to $\mathrm{SL}_2(K)$. Comment: 13 pages. Comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2401.05192 |
| رقم الأكسشن: | edsarx.2401.05192 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |