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Results tagged with galois-theory
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user 9833
Galois theory, named after Évariste Galois, provides a connection between field theory and group theory. Using Galois theory, certain problems in field theory can be reduced to group theory, which is, in some sense, simpler and better understood.
3
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Accepted
Extension field $\mathbb{C}(t,u)$ over $\mathbb{C}(t^n,u^n)$
What the above argument proves is that the extension is either trivial, or not Galois. My first guess was that it isn't Galois, but it was a stupid mistake! In fact, it is trivial.
Denote $z=u+it$. T …
- 6,891
1
vote
When is a bilinear form equivalent to a trace form?
I think the starting point should be the algebra of selfadjoint operators, i.e. the subalgebra $A\subset End_K(V)$ which consists of operators $f$ such that
$$\langle fx,y\rangle=\langle x, fy\rangle …
- 6,891