On the nature of finite groups
| dc.creator | Golubchik, Aleksandr | |
| dc.date | 2004-08-16 | |
| dc.date | 2004-09-04 | |
| dc.date.accessioned | 2026-07-07T05:11:18Z | |
| dc.date.available | 2026-07-07T05:11:18Z | |
| dc.description | The reality of the difficulties in investigation of finite groups are considered. It is shown that the consideration of symmetry properties of the $k$-orbits that are obtained with an action of a finite group $F=(V,\cdot)$ on Cartesian power $V^k$ gives a new view on the nature of groups and simplifies some difficult properties of groups. Using this representation it is obtained a simple proof of the W. Feit, J.G. Thompson theorem: Solvability of groups of odd order. | |
| dc.description | 4 pages, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/0408202 | |
| dc.identifier | http://arxiv.org/abs/math/0408202 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72192 | |
| dc.subject | General Mathematics | |
| dc.subject | 58D19 | |
| dc.title | On the nature of finite groups | |
| dc.type | text |