課程名稱︰代數導論二
課程性質︰必修
課程教師︰莊武諺
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2014/05/29
考試時限（分鐘）：30分鐘
試題 :
代數導論第六次小考
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.