تقرير
On the second cohomology of semidirect products
| العنوان: | On the second cohomology of semidirect products |
|---|---|
| المؤلفون: | Hartl, Manfred, Leroy, Sébastien |
| سنة النشر: | 2007 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory, 20J06 |
| الوصف: | Let $G$ be a group which is the semidirect product of a normal subgroup $N$ and a subgroup $T$, and let $M$ be a $G$-module with not necessarily trivial $G$-action. Then we embed the simultaneous restriction map $res=(res^G_N,res^G_T)^t : H^2(G,M) \to H^2(N,M)^T \times H^2(T,M)$ into a natural five term exact sequence consisting of one and two-dimensional cohomology groups of the factors $N$ and $T$. The elements of $H^2(G,M)$ are represented in terms of group extensions of $G$ by $M$ constructed from extensions of $N$ and $T$. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0707.0291 |
| رقم الأكسشن: | edsarx.0707.0291 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |