A Strict Inequality for a Minimal Degree of a Direct Product
| dc.creator | Saunders, Neil | |
| dc.date | 2007-08-06 | |
| dc.date | 2007-08-07 | |
| dc.date.accessioned | 2026-07-07T08:22:18Z | |
| dc.date.available | 2026-07-07T08:22:18Z | |
| dc.description | The minimal faithful permutation degree of a finite group G is the least non-negative integer n such that G embeds in the symmetric group Sym(n). Work of Johnson and Wright established conditions for when the minimal degree of a direct product equals the sum of the minimal degrees for two finite groups. Wright asked whether this is true for all finite groups. A counter- example of degree 15 was provided by the referee and was added as an addendum in a paper of Wright. Here we provide a counter-example of degree 12. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0708.0714 | |
| dc.identifier | http://arxiv.org/abs/0708.0714 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135609 | |
| dc.subject | Group Theory | |
| dc.subject | 20B05 | |
| dc.title | A Strict Inequality for a Minimal Degree of a Direct Product | |
| dc.type | text |