Talk:Fundamental theorem of Galois theory

From Wikipedia, the free encyclopedia

hi there Charles Matthews, I don't know exactly how to contact you directly. As you can see I'm making some major changes to all the Galois theory pages. I am planning to put up a summary plus ideas for future work in the next few hours, probably on the Galois theory discussion page. --Dmharvey 13:40, 27 May 2005 (UTC)

You can leave messages at User talk:Charles Matthews. Charles Matthews 13:45, 27 May 2005 (UTC)

[edit] missing logic, or my problem?

I may be missing something, but in the discussion of the cube roots of 2, it was stated that f(x) = w *x is an automorphism. I was under the impression that the automorphism had to map rationals to rationals, so that w = w * 1 = f(1) = 1. How, then could be w be defined as one of the complex roots? Could you clarify this part of the writeup? (or am I being stupid?) CharlesTheBold 01:32, 31 July 2007 (UTC)

It doesn't say that f(x) = w*x for all x; it says that f(\theta) = \omega \cdot \theta , where θ is a cube root of 2 and ω is a primitive cube root of unity. Plclark (talk) 00:36, 9 February 2008 (UTC)Plclark