Article ID Journal Published Year Pages File Type
4594804 Journal of Number Theory 2009 7 Pages PDF
Abstract

Let p be a prime number and a a rational integer. We prove that the Galois group of the trinomial Xp+aXp−1+a over the field Q of rational numbers is the full symmetric group as soon as it is transitive, namely when a≠±1 or .

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory