تقرير
Amalgams of rational unipotent groups and residual nilpotence
| العنوان: | Amalgams of rational unipotent groups and residual nilpotence |
|---|---|
| المؤلفون: | Caprace, Pierre-Emmanuel, Marquis, Timothée |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20E06, 20E26, 20F14, 20F65, 20F67, 20G44 |
| الوصف: | We provide sufficient conditions for a free amalgamated product of torsionfree nilpotent groups to be residually nilpotent. We also characterise the residual nilpotence of certain higher-dimensional amalgams of unipotent groups over the rationals (known as KMS groups) in terms of their defining Cartan matrix. As an application, we give a normal form for the elements of a minimal Kac-Moody group over the rationals. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.14507 |
| رقم الأكسشن: | edsarx.2402.14507 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |