تقرير
Frattini and related subgroups of Mapping Class Groups
| العنوان: | Frattini and related subgroups of Mapping Class Groups |
|---|---|
| المؤلفون: | Masbaum, G., Reid, A. W. |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Geometric Topology, Mathematics - Group Theory, 20F38, 57R56 |
| الوصف: | Let $\Gamma_{g,b}$ denote the orientation-preserving Mapping Class Group of a closed orientable surface of genus $g$ with $b$ punctures. For a group $G$ let $\Phi_f(G)$ denote the intersection of all maximal subgroups of finite index in $G$. Motivated by a question of Ivanov as to whether $\Phi_f(G)$ is nilpotent when $G$ is a finitely generated subgroup of $\Gamma_{g,b}$, in this paper we compute $\Phi_f(G)$ for certain subgroups of $\Gamma_{g,b}$. In particular, we answer Ivanov's question in the affirmative for these subgroups of $\Gamma_{g,b}$. Comment: 12 pages. v2: abstract and introduction slightly rewritten |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1412.3366 |
| رقم الأكسشن: | edsarx.1412.3366 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |