课程名称︰代数导论二
课程性质︰必修
课程教师︰庄武谚
开课学院：理学院
开课系所︰数学系
考试日期（年月日）︰2014/05/29
考试时限（分钟）：30分钟
试题 :
代数导论第六次小考
INTRODUCTION TO ALGEBRA II - QUIZ VI
MAY 29 2014
(1) (20 points) Please compute the Galois group of the separable polynomial
f(x) = (x^2-5)(x^2-7)(x^2-11)∈Q[x]. You could assume the Fundamental
Theorem for finitely generated Ablian Groups.
(2) (30 points) Show that Q([2 + (2^1/2)]^1/2)/Q is Galios with Galios group
Z/Z_4.