%0 Journal Article
%T Negative solutions to three-dimensional monomial Noether problem
%A Aiichi Yamasaki
%J Mathematics
%D 2009
%I arXiv
%X Three-dimensional monomial Noether problem can have negative solutions for 8 groups by the suitable choice of the coefficients. We find the necessary and sufficient condition for the coefficients to have a negative solution. The results are obtained by two criteria of irrationality using Galois cohomology.
%U http://arxiv.org/abs/0909.0586v2