The Direct Extension Theorem
| dc.creator | Joseph, Ayoub | |
| dc.date | 2004-03-14 | |
| dc.date.accessioned | 2026-07-07T05:06:23Z | |
| dc.date.available | 2026-07-07T05:06:23Z | |
| dc.description | The problem of group extension can be divided into two sub-problems. The first is to find all the possible extensions of $H$ by $K$. The second is to find the different ways a group $G$ can arise as an extension of $H$ by $K$. Here we prove that the direct product $H\times K$ can arise as an extension of $H$ by $K$ in an essentially unique way: that is the direct extension. I would like to thank Yacine Dolivet for drawing my attention to the direct ``extension theorem'', and Anne-Marie Aubert as well as Charles-Antoine Louet for their support. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403230 | |
| dc.identifier | http://arxiv.org/abs/math/0403230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70453 | |
| dc.subject | Group Theory | |
| dc.title | The Direct Extension Theorem | |
| dc.type | text |