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#1 2009-03-16 14:27:18

ASADM
Member
Registered: 2009-03-05
Posts: 18

Finding Galois Group of Polynomials....

Hi,

I need to learn how to use resolvents, etc, to find the Galois Group of Polynomials - I'm a liiiiiiiiiiiiiiittle bit stuck at the mo! :-s (the lecturer is not being very clear at all!)

I was wondering if someone could please explain how they would apply these techniques to the following 4 equations:

1) P^4-P+1
2) P^4-3P+5
3) P^3-39P+26
4) P^4+5P^2+5

If you could also perhaps summarise the main theorems you are using/might need to use in these sorts of questions that would be fantastic! :-D But just worked solutions of the above equations would be enough. :-)

Many thanks in advance. x

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#2 2009-03-17 06:12:46

ASADM
Member
Registered: 2009-03-05
Posts: 18

Re: Finding Galois Group of Polynomials....

Don't worry - I've worked it out now! :-)

Thank you! :-D

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