Retract rationality and Noether's problem
| dc.creator | Kang, Ming-chang | |
| 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. We will prove that, if K is any field, p an odd prime number, and G is a non-abelian group of exponent p with |G|=p^3 or p^4 satisfying [K(ζ_p):K] <= 2, then K(G) is rational over K. We will also show that K(G) is retract rational if G belongs to a much larger class of p-groups. In particular, generic G-polynomials of G-Galois extensions exist for these groups. | |
| dc.identifier | https://arxiv.org/abs/0704.1700 | |
| dc.identifier | http://arxiv.org/abs/0704.1700 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127334 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 12F12, 13A50, 11R32, 14E08 | |
| dc.title | Retract rationality and Noether's problem | |
| dc.type | text |