Article ID Journal Published Year Pages File Type
4585542 Journal of Algebra 2012 33 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory