Noether's problem for some p-groups
| dc.creator | Kang, Ming-chang | |
| dc.creator | Hu, Shou-Jen | |
| dc.date | 2007-04-13 | |
| dc.date.accessioned | 2026-07-07T07:56:31Z | |
| dc.date.available | 2026-07-07T07:56:31Z | |
| dc.description | Let K be any field and G be a finite group. Noether's problem asks whether the fixed field is rational (=purely transcendental) over K. We will prove that if G is a non-abelian p-group of order p^n containing a cyclic subgroup of index p and K is any field containing a primitive p^{n-2}-th root of unity, then K(G) is rational over K. | |
| dc.identifier | https://arxiv.org/abs/0704.1701 | |
| dc.identifier | http://arxiv.org/abs/0704.1701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127335 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 12F12, 13A50, 11R32, 14E08 | |
| dc.title | Noether's problem for some p-groups | |
| dc.type | text |