Math Is Fun Forum

darthradius

Member

Registered: 2005-11-28

Posts: 97

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...

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

atulvek

Member

Registered: 2006-04-21

Posts: 5

Re: Galois Groups

kindly give me hint so that ican try it out

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Atul Vek

Jai Ganesh

Administrator

Registered: 2005-06-28

Posts: 46,179

Re: Galois Groups

atulvek,
Here is a link to Galois theory.

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It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

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.

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"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..."

George,Y

Member

Registered: 2006-03-12

Posts: 1,379

Re: Galois Groups

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

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X'(y-Xβ)=0

atulvek

Member

Registered: 2006-04-21

Posts: 5

Re: Galois Groups

very difficult one !!

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Atul Vek