تقرير
Fixed Points of Automorphisms of Torus Knot Groups
| العنوان: | Fixed Points of Automorphisms of Torus Knot Groups |
|---|---|
| المؤلفون: | Jones, Oli |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20F28 (Primary) 20E06, 20E08 (Secondary) |
| الوصف: | We completely classify fixed point subgroups in Torus Knot Groups, that is groups of the form $G_{p,q} = \langle x , y | x^p = y^q \rangle$. We not only give the isomorphism type, but also the explicit generators for the fixed point subgroup of each automorphism of $G_{p,q}$. Our main tool is an action of $Aut(G_{p,q})$ on the Bass-Serre tree of $G_{p,q}$ which is compatible with the original action, in the sense that it extends the original action of $G_{p,q}$ on its Bass-Serre tree. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.10648 |
| رقم الأكسشن: | edsarx.2309.10648 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |