Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-01-29 11:26:42

Full Member

Offline

Galois Groups

Okay, my turn to ask for help....

Can someone explain how you would go about computing the Galois Group for
x^4 - 16

I really am not quite understanding the process...

The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
-Bertrand Russell

#2 2006-05-05 12:27:05

atulvek
Novice

Offline

Re: Galois Groups

kindly give me hint so that ican try it out

#3 2006-05-05 13:32:38

ganesh
Moderator

Offline

Re: Galois Groups

atulvek,
Here is a link to Galois theory.

Character is who you are when no one is looking.

#4 2006-05-05 14:40:10

Ricky
Moderator

Offline

Re: Galois Groups

You have to learn a whole lot of things before trying to tackle Galois Theory.  Start with groups and work your way up to rings and fields.  But this is abstract algebra, it is nothing easy.

"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

#5 2006-05-06 12:15:09

George,Y
Super Member

Offline

Re: Galois Groups

Do you like Bertrand Russell too? I like his paradox very much! hehe...

X'(y-Xβ)=0

#6 2006-05-08 22:29:59

atulvek
Novice

Offline

Re: Galois Groups

very difficult one !!