On the second cohomology of semidirect products
| dc.creator | Hartl, Manfred | |
| dc.creator | Leroy, Sébastien | |
| dc.date | 2007-07-02 | |
| dc.date.accessioned | 2026-07-07T08:13:35Z | |
| dc.date.available | 2026-07-07T08:13:35Z | |
| dc.description | 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 $T$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0707.0291 | |
| dc.identifier | http://arxiv.org/abs/0707.0291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132821 | |
| dc.subject | Group Theory | |
| dc.subject | 20J06 | |
| dc.title | On the second cohomology of semidirect products | |
| dc.type | text |