Noether's problem for some p-groups
Commutative Algebra
2007-05-23 v1 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.0704.1701,
title = {Noether's problem for some p-groups},
author = {Ming-chang Kang and Shou-Jen Hu},
journal= {arXiv preprint arXiv:0704.1701},
year = {2007}
}