作者Scape (non)
看板Math
標題[代數] 請問幾題代數，關於Galois group of polynomial
時間Fri May 27 17:16:27 2011
Find the Galois group of the polyomial over Q
1. x^4 - 5x^2 + 6
2. x^3 - 6x^2 + 2
謝謝各位幫忙
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1F：推 jacky7987 :1. (x^2-3)(x^2-2) Q(sqrt(2),sqrt(3)) 是splitting 05/27 22:39
2F：→ jacky7987 :2. If f(x)=x^3+qx+r and let D^2=-4q^3-27r^2 05/27 22:40
3F：→ jacky7987 :if D^2 is a square in Q, then Gal=A_3 05/27 22:40
4F：→ jacky7987 :if not, then Gal=S_3 05/27 22:40
5F：推 jacky7987 :To transfer to the form just Let X=x-1/3 05/27 22:43